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Finding the Fourth Proportional to 52,567.20, 78,697.20 and 51,031.20

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Solution

The fourth proportional to 52,567.20, 78,697.20 and 51,031.20 is: 76,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,567.20 : 78,697.20 = 51,031.20 : x
  2. Step 2: Convert to fraction form
    52,567.20/78,697.20 = 51,031.20/x
  3. Step 3: Cross multiply
    52,567.20x = 78,697.20 × 51,031.20
  4. Step 4: Simplify right side
    52,567.20x = 4,016,012,552.64
  5. Step 5: Solve for x
    x = 4,016,012,552.64/52,567.20
  6. Step 6: Final answer
    x = 76,397.69

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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.