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Finding the Fourth Proportional to 107,527.93, 161,324.70 and 54,974.32

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Solution

The fourth proportional to 107,527.93, 161,324.70 and 54,974.32 is: 82,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,527.93 : 161,324.70 = 54,974.32 : x
  2. Step 2: Convert to fraction form
    107,527.93/161,324.70 = 54,974.32/x
  3. Step 3: Cross multiply
    107,527.93x = 161,324.70 × 54,974.32
  4. Step 4: Simplify right side
    107,527.93x = 8,868,714,875.08
  5. Step 5: Solve for x
    x = 8,868,714,875.08/107,527.93
  6. Step 6: Final answer
    x = 82,478.25

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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.