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Finding the Fourth Proportional to 46,957.68, 70,446.96 and 15,792

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Solution

The fourth proportional to 46,957.68, 70,446.96 and 15,792 is: 23,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,957.68 : 70,446.96 = 15,792 : x
  2. Step 2: Convert to fraction form
    46,957.68/70,446.96 = 15,792/x
  3. Step 3: Cross multiply
    46,957.68x = 70,446.96 × 15,792
  4. Step 4: Simplify right side
    46,957.68x = 1,112,498,392.32
  5. Step 5: Solve for x
    x = 1,112,498,392.32/46,957.68
  6. Step 6: Final answer
    x = 23,691.51

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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.