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Finding the Fourth Proportional to 54,876.52, 82,314.18 and 13,323.52

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Solution

The fourth proportional to 54,876.52, 82,314.18 and 13,323.52 is: 19,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,876.52 : 82,314.18 = 13,323.52 : x
  2. Step 2: Convert to fraction form
    54,876.52/82,314.18 = 13,323.52/x
  3. Step 3: Cross multiply
    54,876.52x = 82,314.18 × 13,323.52
  4. Step 4: Simplify right side
    54,876.52x = 1,096,714,623.51
  5. Step 5: Solve for x
    x = 1,096,714,623.51/54,876.52
  6. Step 6: Final answer
    x = 19,985.13

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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.