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Finding the Fourth Proportional to 32,411.61, 48,617.40 and 7,787.61

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Solution

The fourth proportional to 32,411.61, 48,617.40 and 7,787.61 is: 11,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.61 : 48,617.40 = 7,787.61 : x
  2. Step 2: Convert to fraction form
    32,411.61/48,617.40 = 7,787.61/x
  3. Step 3: Cross multiply
    32,411.61x = 48,617.40 × 7,787.61
  4. Step 4: Simplify right side
    32,411.61x = 378,613,350.41
  5. Step 5: Solve for x
    x = 378,613,350.41/32,411.61
  6. Step 6: Final answer
    x = 11,681.41

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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.