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Finding the Fourth Proportional to 32,948.88, 49,426.56 and 9,569.04

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Solution

The fourth proportional to 32,948.88, 49,426.56 and 9,569.04 is: 14,354.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.88 : 49,426.56 = 9,569.04 : x
  2. Step 2: Convert to fraction form
    32,948.88/49,426.56 = 9,569.04/x
  3. Step 3: Cross multiply
    32,948.88x = 49,426.56 × 9,569.04
  4. Step 4: Simplify right side
    32,948.88x = 472,964,729.70
  5. Step 5: Solve for x
    x = 472,964,729.70/32,948.88
  6. Step 6: Final answer
    x = 14,354.50

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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.