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Finding the Fourth Proportional to 54,937.80, 82,421.55 and 23,349.15

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Solution

The fourth proportional to 54,937.80, 82,421.55 and 23,349.15 is: 35,030.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937.80 : 82,421.55 = 23,349.15 : x
  2. Step 2: Convert to fraction form
    54,937.80/82,421.55 = 23,349.15/x
  3. Step 3: Cross multiply
    54,937.80x = 82,421.55 × 23,349.15
  4. Step 4: Simplify right side
    54,937.80x = 1,924,473,134.18
  5. Step 5: Solve for x
    x = 1,924,473,134.18/54,937.80
  6. Step 6: Final answer
    x = 35,030.04

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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.