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Finding the Fourth Proportional to 38,517.66, 53,154.77 and 22,602.38

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Solution

The fourth proportional to 38,517.66, 53,154.77 and 22,602.38 is: 31,191.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,517.66 : 53,154.77 = 22,602.38 : x
  2. Step 2: Convert to fraction form
    38,517.66/53,154.77 = 22,602.38/x
  3. Step 3: Cross multiply
    38,517.66x = 53,154.77 × 22,602.38
  4. Step 4: Simplify right side
    38,517.66x = 1,201,423,931.57
  5. Step 5: Solve for x
    x = 1,201,423,931.57/38,517.66
  6. Step 6: Final answer
    x = 31,191.51

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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.