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Finding the Fourth Proportional to 32,037.10, 48,046.42 and 12,040.40

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Solution

The fourth proportional to 32,037.10, 48,046.42 and 12,040.40 is: 18,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,037.10 : 48,046.42 = 12,040.40 : x
  2. Step 2: Convert to fraction form
    32,037.10/48,046.42 = 12,040.40/x
  3. Step 3: Cross multiply
    32,037.10x = 48,046.42 × 12,040.40
  4. Step 4: Simplify right side
    32,037.10x = 578,498,115.37
  5. Step 5: Solve for x
    x = 578,498,115.37/32,037.10
  6. Step 6: Final answer
    x = 18,057.13

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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.