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Finding the Fourth Proportional to 100,038.78, 138,051.54 and 54,716.61

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Solution

The fourth proportional to 100,038.78, 138,051.54 and 54,716.61 is: 75,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,038.78 : 138,051.54 = 54,716.61 : x
  2. Step 2: Convert to fraction form
    100,038.78/138,051.54 = 54,716.61/x
  3. Step 3: Cross multiply
    100,038.78x = 138,051.54 × 54,716.61
  4. Step 4: Simplify right side
    100,038.78x = 7,553,712,274.08
  5. Step 5: Solve for x
    x = 7,553,712,274.08/100,038.78
  6. Step 6: Final answer
    x = 75,507.84

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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.