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Finding the Fourth Proportional to 72,454.60, 108,681.90 and 54,958.60

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Solution

The fourth proportional to 72,454.60, 108,681.90 and 54,958.60 is: 82,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454.60 : 108,681.90 = 54,958.60 : x
  2. Step 2: Convert to fraction form
    72,454.60/108,681.90 = 54,958.60/x
  3. Step 3: Cross multiply
    72,454.60x = 108,681.90 × 54,958.60
  4. Step 4: Simplify right side
    72,454.60x = 5,973,005,069.34
  5. Step 5: Solve for x
    x = 5,973,005,069.34/72,454.60
  6. Step 6: Final answer
    x = 82,437.90

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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.