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Finding the Fourth Proportional to 92,358, 138,543.48 and 31,569.12

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Solution

The fourth proportional to 92,358, 138,543.48 and 31,569.12 is: 47,355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,358 : 138,543.48 = 31,569.12 : x
  2. Step 2: Convert to fraction form
    92,358/138,543.48 = 31,569.12/x
  3. Step 3: Cross multiply
    92,358x = 138,543.48 × 31,569.12
  4. Step 4: Simplify right side
    92,358x = 4,373,695,745.34
  5. Step 5: Solve for x
    x = 4,373,695,745.34/92,358
  6. Step 6: Final answer
    x = 47,355.89

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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.