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Finding the Fourth Proportional to 34,479.97, 51,678.15 and 15,734.32

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Solution

The fourth proportional to 34,479.97, 51,678.15 and 15,734.32 is: 23,582.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,479.97 : 51,678.15 = 15,734.32 : x
  2. Step 2: Convert to fraction form
    34,479.97/51,678.15 = 15,734.32/x
  3. Step 3: Cross multiply
    34,479.97x = 51,678.15 × 15,734.32
  4. Step 4: Simplify right side
    34,479.97x = 813,120,549.11
  5. Step 5: Solve for x
    x = 813,120,549.11/34,479.97
  6. Step 6: Final answer
    x = 23,582.40

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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.