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Finding the Fourth Proportional to 65,047.52, 97,495.92 and 29,913.44

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Solution

The fourth proportional to 65,047.52, 97,495.92 and 29,913.44 is: 44,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,047.52 : 97,495.92 = 29,913.44 : x
  2. Step 2: Convert to fraction form
    65,047.52/97,495.92 = 29,913.44/x
  3. Step 3: Cross multiply
    65,047.52x = 97,495.92 × 29,913.44
  4. Step 4: Simplify right side
    65,047.52x = 2,916,438,353.16
  5. Step 5: Solve for x
    x = 2,916,438,353.16/65,047.52
  6. Step 6: Final answer
    x = 44,835.50

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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.