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Finding the Fourth Proportional to 121,570.80, 182,337.96 and 38,454

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Solution

The fourth proportional to 121,570.80, 182,337.96 and 38,454 is: 57,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,570.80 : 182,337.96 = 38,454 : x
  2. Step 2: Convert to fraction form
    121,570.80/182,337.96 = 38,454/x
  3. Step 3: Cross multiply
    121,570.80x = 182,337.96 × 38,454
  4. Step 4: Simplify right side
    121,570.80x = 7,011,623,913.84
  5. Step 5: Solve for x
    x = 7,011,623,913.84/121,570.80
  6. Step 6: Final answer
    x = 57,675.23

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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.