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Finding the Fourth Proportional to 32,504.97, 48,763.49 and 10,312.35

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Solution

The fourth proportional to 32,504.97, 48,763.49 and 10,312.35 is: 15,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,504.97 : 48,763.49 = 10,312.35 : x
  2. Step 2: Convert to fraction form
    32,504.97/48,763.49 = 10,312.35/x
  3. Step 3: Cross multiply
    32,504.97x = 48,763.49 × 10,312.35
  4. Step 4: Simplify right side
    32,504.97x = 502,866,124.54
  5. Step 5: Solve for x
    x = 502,866,124.54/32,504.97
  6. Step 6: Final answer
    x = 15,470.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.