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Finding the Fourth Proportional to 54,811.70, 75,632.04 and 32,142.14

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Solution

The fourth proportional to 54,811.70, 75,632.04 and 32,142.14 is: 44,351.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,811.70 : 75,632.04 = 32,142.14 : x
  2. Step 2: Convert to fraction form
    54,811.70/75,632.04 = 32,142.14/x
  3. Step 3: Cross multiply
    54,811.70x = 75,632.04 × 32,142.14
  4. Step 4: Simplify right side
    54,811.70x = 2,430,975,618.17
  5. Step 5: Solve for x
    x = 2,430,975,618.17/54,811.70
  6. Step 6: Final answer
    x = 44,351.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.