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Finding the Fourth Proportional to 32,032.76, 48,059.42 and 15,394

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Solution

The fourth proportional to 32,032.76, 48,059.42 and 15,394 is: 23,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032.76 : 48,059.42 = 15,394 : x
  2. Step 2: Convert to fraction form
    32,032.76/48,059.42 = 15,394/x
  3. Step 3: Cross multiply
    32,032.76x = 48,059.42 × 15,394
  4. Step 4: Simplify right side
    32,032.76x = 739,826,711.48
  5. Step 5: Solve for x
    x = 739,826,711.48/32,032.76
  6. Step 6: Final answer
    x = 23,095.94

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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.