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Finding the Fourth Proportional to 74,507.16, 111,834.18 and 54,730.20

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Solution

The fourth proportional to 74,507.16, 111,834.18 and 54,730.20 is: 82,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,507.16 : 111,834.18 = 54,730.20 : x
  2. Step 2: Convert to fraction form
    74,507.16/111,834.18 = 54,730.20/x
  3. Step 3: Cross multiply
    74,507.16x = 111,834.18 × 54,730.20
  4. Step 4: Simplify right side
    74,507.16x = 6,120,707,038.24
  5. Step 5: Solve for x
    x = 6,120,707,038.24/74,507.16
  6. Step 6: Final answer
    x = 82,149.25

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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.