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Finding the Fourth Proportional to 65,083.92, 97,487.45 and 38,401.16

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Solution

The fourth proportional to 65,083.92, 97,487.45 and 38,401.16 is: 57,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.92 : 97,487.45 = 38,401.16 : x
  2. Step 2: Convert to fraction form
    65,083.92/97,487.45 = 38,401.16/x
  3. Step 3: Cross multiply
    65,083.92x = 97,487.45 × 38,401.16
  4. Step 4: Simplify right side
    65,083.92x = 3,743,630,630.00
  5. Step 5: Solve for x
    x = 3,743,630,630.00/65,083.92
  6. Step 6: Final answer
    x = 57,520.05

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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.