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Finding the Fourth Proportional to 74,882, 103,337.16 and 48,386

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Solution

The fourth proportional to 74,882, 103,337.16 and 48,386 is: 66,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,882 : 103,337.16 = 48,386 : x
  2. Step 2: Convert to fraction form
    74,882/103,337.16 = 48,386/x
  3. Step 3: Cross multiply
    74,882x = 103,337.16 × 48,386
  4. Step 4: Simplify right side
    74,882x = 5,000,071,823.76
  5. Step 5: Solve for x
    x = 5,000,071,823.76/74,882
  6. Step 6: Final answer
    x = 66,772.68

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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.