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Finding the Fourth Proportional to 32,376.57, 48,569.64 and 10,182.57

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Solution

The fourth proportional to 32,376.57, 48,569.64 and 10,182.57 is: 15,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,376.57 : 48,569.64 = 10,182.57 : x
  2. Step 2: Convert to fraction form
    32,376.57/48,569.64 = 10,182.57/x
  3. Step 3: Cross multiply
    32,376.57x = 48,569.64 × 10,182.57
  4. Step 4: Simplify right side
    32,376.57x = 494,563,759.17
  5. Step 5: Solve for x
    x = 494,563,759.17/32,376.57
  6. Step 6: Final answer
    x = 15,275.36

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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.