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Finding the Fourth Proportional to 54,005.10, 81,007.65 and 18,948.30

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Solution

The fourth proportional to 54,005.10, 81,007.65 and 18,948.30 is: 28,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,005.10 : 81,007.65 = 18,948.30 : x
  2. Step 2: Convert to fraction form
    54,005.10/81,007.65 = 18,948.30/x
  3. Step 3: Cross multiply
    54,005.10x = 81,007.65 × 18,948.30
  4. Step 4: Simplify right side
    54,005.10x = 1,534,957,254.50
  5. Step 5: Solve for x
    x = 1,534,957,254.50/54,005.10
  6. Step 6: Final answer
    x = 28,422.45

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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.