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Finding the Fourth Proportional to 47,988.42, 71,878.76 and 34,811.76

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Solution

The fourth proportional to 47,988.42, 71,878.76 and 34,811.76 is: 52,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,988.42 : 71,878.76 = 34,811.76 : x
  2. Step 2: Convert to fraction form
    47,988.42/71,878.76 = 34,811.76/x
  3. Step 3: Cross multiply
    47,988.42x = 71,878.76 × 34,811.76
  4. Step 4: Simplify right side
    47,988.42x = 2,502,226,142.22
  5. Step 5: Solve for x
    x = 2,502,226,142.22/47,988.42
  6. Step 6: Final answer
    x = 52,142.29

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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.