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Finding the Fourth Proportional to 103,420.32, 155,092.17 and 36,842.76

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Solution

The fourth proportional to 103,420.32, 155,092.17 and 36,842.76 is: 55,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,420.32 : 155,092.17 = 36,842.76 : x
  2. Step 2: Convert to fraction form
    103,420.32/155,092.17 = 36,842.76/x
  3. Step 3: Cross multiply
    103,420.32x = 155,092.17 × 36,842.76
  4. Step 4: Simplify right side
    103,420.32x = 5,714,023,597.19
  5. Step 5: Solve for x
    x = 5,714,023,597.19/103,420.32
  6. Step 6: Final answer
    x = 55,250.49

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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.