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Finding the Fourth Proportional to 52,053.76, 78,051.04 and 16,508.52

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Solution

The fourth proportional to 52,053.76, 78,051.04 and 16,508.52 is: 24,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,053.76 : 78,051.04 = 16,508.52 : x
  2. Step 2: Convert to fraction form
    52,053.76/78,051.04 = 16,508.52/x
  3. Step 3: Cross multiply
    52,053.76x = 78,051.04 × 16,508.52
  4. Step 4: Simplify right side
    52,053.76x = 1,288,507,154.86
  5. Step 5: Solve for x
    x = 1,288,507,154.86/52,053.76
  6. Step 6: Final answer
    x = 24,753.39

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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.