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Finding the Fourth Proportional to 52,878.76, 79,294.79 and 24,776.15

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Solution

The fourth proportional to 52,878.76, 79,294.79 and 24,776.15 is: 37,153.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,878.76 : 79,294.79 = 24,776.15 : x
  2. Step 2: Convert to fraction form
    52,878.76/79,294.79 = 24,776.15/x
  3. Step 3: Cross multiply
    52,878.76x = 79,294.79 × 24,776.15
  4. Step 4: Simplify right side
    52,878.76x = 1,964,619,685.61
  5. Step 5: Solve for x
    x = 1,964,619,685.61/52,878.76
  6. Step 6: Final answer
    x = 37,153.29

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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.