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Finding the Fourth Proportional to 65,142.28, 89,897.96 and 36,461.72

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Solution

The fourth proportional to 65,142.28, 89,897.96 and 36,461.72 is: 50,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.28 : 89,897.96 = 36,461.72 : x
  2. Step 2: Convert to fraction form
    65,142.28/89,897.96 = 36,461.72/x
  3. Step 3: Cross multiply
    65,142.28x = 89,897.96 × 36,461.72
  4. Step 4: Simplify right side
    65,142.28x = 3,277,834,246.09
  5. Step 5: Solve for x
    x = 3,277,834,246.09/65,142.28
  6. Step 6: Final answer
    x = 50,318.08

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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.