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Finding the Fourth Proportional to 121,364.52, 182,046.84 and 38,265

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Solution

The fourth proportional to 121,364.52, 182,046.84 and 38,265 is: 57,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,364.52 : 182,046.84 = 38,265 : x
  2. Step 2: Convert to fraction form
    121,364.52/182,046.84 = 38,265/x
  3. Step 3: Cross multiply
    121,364.52x = 182,046.84 × 38,265
  4. Step 4: Simplify right side
    121,364.52x = 6,966,022,332.60
  5. Step 5: Solve for x
    x = 6,966,022,332.60/121,364.52
  6. Step 6: Final answer
    x = 57,397.52

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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.