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Finding the Fourth Proportional to 100,024.59, 138,028.35 and 54,693.57

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Solution

The fourth proportional to 100,024.59, 138,028.35 and 54,693.57 is: 75,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,024.59 : 138,028.35 = 54,693.57 : x
  2. Step 2: Convert to fraction form
    100,024.59/138,028.35 = 54,693.57/x
  3. Step 3: Cross multiply
    100,024.59x = 138,028.35 × 54,693.57
  4. Step 4: Simplify right side
    100,024.59x = 7,549,263,222.71
  5. Step 5: Solve for x
    x = 7,549,263,222.71/100,024.59
  6. Step 6: Final answer
    x = 75,474.07

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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.