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Finding the Fourth Proportional to 65,462.97, 98,237.52 and 35,901.57

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Solution

The fourth proportional to 65,462.97, 98,237.52 and 35,901.57 is: 53,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,462.97 : 98,237.52 = 35,901.57 : x
  2. Step 2: Convert to fraction form
    65,462.97/98,237.52 = 35,901.57/x
  3. Step 3: Cross multiply
    65,462.97x = 98,237.52 × 35,901.57
  4. Step 4: Simplify right side
    65,462.97x = 3,526,881,200.91
  5. Step 5: Solve for x
    x = 3,526,881,200.91/65,462.97
  6. Step 6: Final answer
    x = 53,875.97

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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.