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Finding the Fourth Proportional to 52,540.86, 78,788.97 and 19,247.10

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Solution

The fourth proportional to 52,540.86, 78,788.97 and 19,247.10 is: 28,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,540.86 : 78,788.97 = 19,247.10 : x
  2. Step 2: Convert to fraction form
    52,540.86/78,788.97 = 19,247.10/x
  3. Step 3: Cross multiply
    52,540.86x = 78,788.97 × 19,247.10
  4. Step 4: Simplify right side
    52,540.86x = 1,516,459,184.49
  5. Step 5: Solve for x
    x = 1,516,459,184.49/52,540.86
  6. Step 6: Final answer
    x = 28,862.47

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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.