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Finding the Fourth Proportional to 32,411.40, 48,617.10 and 27,227.40

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Solution

The fourth proportional to 32,411.40, 48,617.10 and 27,227.40 is: 40,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411.40 : 48,617.10 = 27,227.40 : x
  2. Step 2: Convert to fraction form
    32,411.40/48,617.10 = 27,227.40/x
  3. Step 3: Cross multiply
    32,411.40x = 48,617.10 × 27,227.40
  4. Step 4: Simplify right side
    32,411.40x = 1,323,717,228.54
  5. Step 5: Solve for x
    x = 1,323,717,228.54/32,411.40
  6. Step 6: Final answer
    x = 40,841.10

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1.5x scale

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.