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Finding the Fourth Proportional to 65,209.48, 89,989.45 and 38,353.12

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Solution

The fourth proportional to 65,209.48, 89,989.45 and 38,353.12 is: 52,927.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.48 : 89,989.45 = 38,353.12 : x
  2. Step 2: Convert to fraction form
    65,209.48/89,989.45 = 38,353.12/x
  3. Step 3: Cross multiply
    65,209.48x = 89,989.45 × 38,353.12
  4. Step 4: Simplify right side
    65,209.48x = 3,451,376,174.58
  5. Step 5: Solve for x
    x = 3,451,376,174.58/65,209.48
  6. Step 6: Final answer
    x = 52,927.52

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.