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Finding the Fourth Proportional to 114,493.48, 171,685.68 and 42,422.92

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Solution

The fourth proportional to 114,493.48, 171,685.68 and 42,422.92 is: 63,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,493.48 : 171,685.68 = 42,422.92 : x
  2. Step 2: Convert to fraction form
    114,493.48/171,685.68 = 42,422.92/x
  3. Step 3: Cross multiply
    114,493.48x = 171,685.68 × 42,422.92
  4. Step 4: Simplify right side
    114,493.48x = 7,283,407,867.79
  5. Step 5: Solve for x
    x = 7,283,407,867.79/114,493.48
  6. Step 6: Final answer
    x = 63,614.17

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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.