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Finding the Fourth Proportional to 34,304.19, 47,332.56 and 20,151.87

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Solution

The fourth proportional to 34,304.19, 47,332.56 and 20,151.87 is: 27,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,304.19 : 47,332.56 = 20,151.87 : x
  2. Step 2: Convert to fraction form
    34,304.19/47,332.56 = 20,151.87/x
  3. Step 3: Cross multiply
    34,304.19x = 47,332.56 × 20,151.87
  4. Step 4: Simplify right side
    34,304.19x = 953,839,595.89
  5. Step 5: Solve for x
    x = 953,839,595.89/34,304.19
  6. Step 6: Final answer
    x = 27,805.34

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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.