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Finding the Fourth Proportional to 52,154.66, 78,035.16 and 29,978.48

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Solution

The fourth proportional to 52,154.66, 78,035.16 and 29,978.48 is: 44,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154.66 : 78,035.16 = 29,978.48 : x
  2. Step 2: Convert to fraction form
    52,154.66/78,035.16 = 29,978.48/x
  3. Step 3: Cross multiply
    52,154.66x = 78,035.16 × 29,978.48
  4. Step 4: Simplify right side
    52,154.66x = 2,339,375,483.36
  5. Step 5: Solve for x
    x = 2,339,375,483.36/52,154.66
  6. Step 6: Final answer
    x = 44,854.58

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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.