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Finding the Fourth Proportional to 48,978.10, 73,467.15 and 12,042.10

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Solution

The fourth proportional to 48,978.10, 73,467.15 and 12,042.10 is: 18,063.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,978.10 : 73,467.15 = 12,042.10 : x
  2. Step 2: Convert to fraction form
    48,978.10/73,467.15 = 12,042.10/x
  3. Step 3: Cross multiply
    48,978.10x = 73,467.15 × 12,042.10
  4. Step 4: Simplify right side
    48,978.10x = 884,698,767.02
  5. Step 5: Solve for x
    x = 884,698,767.02/48,978.10
  6. Step 6: Final answer
    x = 18,063.15

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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.