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Finding the Fourth Proportional to 39,477.60, 59,213.70 and 12,823.20

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Solution

The fourth proportional to 39,477.60, 59,213.70 and 12,823.20 is: 19,233.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477.60 : 59,213.70 = 12,823.20 : x
  2. Step 2: Convert to fraction form
    39,477.60/59,213.70 = 12,823.20/x
  3. Step 3: Cross multiply
    39,477.60x = 59,213.70 × 12,823.20
  4. Step 4: Simplify right side
    39,477.60x = 759,309,117.84
  5. Step 5: Solve for x
    x = 759,309,117.84/39,477.60
  6. Step 6: Final answer
    x = 19,233.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.