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Finding the Fourth Proportional to 65,176.16, 89,943.10 and 35,368.16

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Solution

The fourth proportional to 65,176.16, 89,943.10 and 35,368.16 is: 48,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.16 : 89,943.10 = 35,368.16 : x
  2. Step 2: Convert to fraction form
    65,176.16/89,943.10 = 35,368.16/x
  3. Step 3: Cross multiply
    65,176.16x = 89,943.10 × 35,368.16
  4. Step 4: Simplify right side
    65,176.16x = 3,181,121,951.70
  5. Step 5: Solve for x
    x = 3,181,121,951.70/65,176.16
  6. Step 6: Final answer
    x = 48,808.06

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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.