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Finding the Fourth Proportional to 32,943.06, 49,414.65 and 9,569.70

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Solution

The fourth proportional to 32,943.06, 49,414.65 and 9,569.70 is: 14,354.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,943.06 : 49,414.65 = 9,569.70 : x
  2. Step 2: Convert to fraction form
    32,943.06/49,414.65 = 9,569.70/x
  3. Step 3: Cross multiply
    32,943.06x = 49,414.65 × 9,569.70
  4. Step 4: Simplify right side
    32,943.06x = 472,883,376.11
  5. Step 5: Solve for x
    x = 472,883,376.11/32,943.06
  6. Step 6: Final answer
    x = 14,354.57

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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.