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Finding the Fourth Proportional to 100,428, 138,597.12 and 55,716

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Solution

The fourth proportional to 100,428, 138,597.12 and 55,716 is: 76,891.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428 : 138,597.12 = 55,716 : x
  2. Step 2: Convert to fraction form
    100,428/138,597.12 = 55,716/x
  3. Step 3: Cross multiply
    100,428x = 138,597.12 × 55,716
  4. Step 4: Simplify right side
    100,428x = 7,722,077,137.92
  5. Step 5: Solve for x
    x = 7,722,077,137.92/100,428
  6. Step 6: Final answer
    x = 76,891.68

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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.