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Finding the Fourth Proportional to 34,407.18, 47,509.92 and 28,034.82

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Solution

The fourth proportional to 34,407.18, 47,509.92 and 28,034.82 is: 38,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,407.18 : 47,509.92 = 28,034.82 : x
  2. Step 2: Convert to fraction form
    34,407.18/47,509.92 = 28,034.82/x
  3. Step 3: Cross multiply
    34,407.18x = 47,509.92 × 28,034.82
  4. Step 4: Simplify right side
    34,407.18x = 1,331,932,055.41
  5. Step 5: Solve for x
    x = 1,331,932,055.41/34,407.18
  6. Step 6: Final answer
    x = 38,710.88

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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.