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Finding the Fourth Proportional to 73,200.62, 109,779.14 and 31,080.08

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Solution

The fourth proportional to 73,200.62, 109,779.14 and 31,080.08 is: 46,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,200.62 : 109,779.14 = 31,080.08 : x
  2. Step 2: Convert to fraction form
    73,200.62/109,779.14 = 31,080.08/x
  3. Step 3: Cross multiply
    73,200.62x = 109,779.14 × 31,080.08
  4. Step 4: Simplify right side
    73,200.62x = 3,411,944,453.53
  5. Step 5: Solve for x
    x = 3,411,944,453.53/73,200.62
  6. Step 6: Final answer
    x = 46,610.87

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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.