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Finding the Fourth Proportional to 71,482.67, 107,192.85 and 24,088.93

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Solution

The fourth proportional to 71,482.67, 107,192.85 and 24,088.93 is: 36,122.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482.67 : 107,192.85 = 24,088.93 : x
  2. Step 2: Convert to fraction form
    71,482.67/107,192.85 = 24,088.93/x
  3. Step 3: Cross multiply
    71,482.67x = 107,192.85 × 24,088.93
  4. Step 4: Simplify right side
    71,482.67x = 2,582,160,792.17
  5. Step 5: Solve for x
    x = 2,582,160,792.17/71,482.67
  6. Step 6: Final answer
    x = 36,122.89

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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.