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Finding the Fourth Proportional to 70,416, 97,174.08 and 38,586.11

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Solution

The fourth proportional to 70,416, 97,174.08 and 38,586.11 is: 53,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,416 : 97,174.08 = 38,586.11 : x
  2. Step 2: Convert to fraction form
    70,416/97,174.08 = 38,586.11/x
  3. Step 3: Cross multiply
    70,416x = 97,174.08 × 38,586.11
  4. Step 4: Simplify right side
    70,416x = 3,749,569,254.16
  5. Step 5: Solve for x
    x = 3,749,569,254.16/70,416
  6. Step 6: Final answer
    x = 53,248.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.