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Finding the Fourth Proportional to 65,032.98, 97,474.17 and 29,898.90

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Solution

The fourth proportional to 65,032.98, 97,474.17 and 29,898.90 is: 44,813.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,032.98 : 97,474.17 = 29,898.90 : x
  2. Step 2: Convert to fraction form
    65,032.98/97,474.17 = 29,898.90/x
  3. Step 3: Cross multiply
    65,032.98x = 97,474.17 × 29,898.90
  4. Step 4: Simplify right side
    65,032.98x = 2,914,370,461.41
  5. Step 5: Solve for x
    x = 2,914,370,461.41/65,032.98
  6. Step 6: Final answer
    x = 44,813.73

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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.