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Finding the Fourth Proportional to 77,014.68, 106,234.38 and 53,140.20

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Solution

The fourth proportional to 77,014.68, 106,234.38 and 53,140.20 is: 73,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,014.68 : 106,234.38 = 53,140.20 : x
  2. Step 2: Convert to fraction form
    77,014.68/106,234.38 = 53,140.20/x
  3. Step 3: Cross multiply
    77,014.68x = 106,234.38 × 53,140.20
  4. Step 4: Simplify right side
    77,014.68x = 5,645,316,200.08
  5. Step 5: Solve for x
    x = 5,645,316,200.08/77,014.68
  6. Step 6: Final answer
    x = 73,301.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.