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Finding the Fourth Proportional to 107,597.28, 161,404.44 and 32,724.12

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Solution

The fourth proportional to 107,597.28, 161,404.44 and 32,724.12 is: 49,088.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,597.28 : 161,404.44 = 32,724.12 : x
  2. Step 2: Convert to fraction form
    107,597.28/161,404.44 = 32,724.12/x
  3. Step 3: Cross multiply
    107,597.28x = 161,404.44 × 32,724.12
  4. Step 4: Simplify right side
    107,597.28x = 5,281,818,263.09
  5. Step 5: Solve for x
    x = 5,281,818,263.09/107,597.28
  6. Step 6: Final answer
    x = 49,088.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.