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Finding the Fourth Proportional to 34,316.80, 47,362.56 and 24,881.92

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Solution

The fourth proportional to 34,316.80, 47,362.56 and 24,881.92 is: 34,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,316.80 : 47,362.56 = 24,881.92 : x
  2. Step 2: Convert to fraction form
    34,316.80/47,362.56 = 24,881.92/x
  3. Step 3: Cross multiply
    34,316.80x = 47,362.56 × 24,881.92
  4. Step 4: Simplify right side
    34,316.80x = 1,178,471,428.92
  5. Step 5: Solve for x
    x = 1,178,471,428.92/34,316.80
  6. Step 6: Final answer
    x = 34,340.95

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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.