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Finding the Fourth Proportional to 65,332, 90,158.16 and 35,524

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Solution

The fourth proportional to 65,332, 90,158.16 and 35,524 is: 49,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,332 : 90,158.16 = 35,524 : x
  2. Step 2: Convert to fraction form
    65,332/90,158.16 = 35,524/x
  3. Step 3: Cross multiply
    65,332x = 90,158.16 × 35,524
  4. Step 4: Simplify right side
    65,332x = 3,202,778,475.84
  5. Step 5: Solve for x
    x = 3,202,778,475.84/65,332
  6. Step 6: Final answer
    x = 49,023.12

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