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Finding the Fourth Proportional to 100,652.10, 138,884.68 and 55,332

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Solution

The fourth proportional to 100,652.10, 138,884.68 and 55,332 is: 76,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,652.10 : 138,884.68 = 55,332 : x
  2. Step 2: Convert to fraction form
    100,652.10/138,884.68 = 55,332/x
  3. Step 3: Cross multiply
    100,652.10x = 138,884.68 × 55,332
  4. Step 4: Simplify right side
    100,652.10x = 7,684,767,113.76
  5. Step 5: Solve for x
    x = 7,684,767,113.76/100,652.10
  6. Step 6: Final answer
    x = 76,349.79

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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.