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Finding the Fourth Proportional to 99,580.64, 137,419.54 and 54,259

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Solution

The fourth proportional to 99,580.64, 137,419.54 and 54,259 is: 74,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,580.64 : 137,419.54 = 54,259 : x
  2. Step 2: Convert to fraction form
    99,580.64/137,419.54 = 54,259/x
  3. Step 3: Cross multiply
    99,580.64x = 137,419.54 × 54,259
  4. Step 4: Simplify right side
    99,580.64x = 7,456,246,820.86
  5. Step 5: Solve for x
    x = 7,456,246,820.86/99,580.64
  6. Step 6: Final answer
    x = 74,876.47

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