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Finding the Fourth Proportional to 103,543.62, 155,315.68 and 31,497.15

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Solution

The fourth proportional to 103,543.62, 155,315.68 and 31,497.15 is: 47,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543.62 : 155,315.68 = 31,497.15 : x
  2. Step 2: Convert to fraction form
    103,543.62/155,315.68 = 31,497.15/x
  3. Step 3: Cross multiply
    103,543.62x = 155,315.68 × 31,497.15
  4. Step 4: Simplify right side
    103,543.62x = 4,892,001,270.31
  5. Step 5: Solve for x
    x = 4,892,001,270.31/103,543.62
  6. Step 6: Final answer
    x = 47,245.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.