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Finding the Fourth Proportional to 54,869.70, 82,316.70 and 25,280.40

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Solution

The fourth proportional to 54,869.70, 82,316.70 and 25,280.40 is: 37,926.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,869.70 : 82,316.70 = 25,280.40 : x
  2. Step 2: Convert to fraction form
    54,869.70/82,316.70 = 25,280.40/x
  3. Step 3: Cross multiply
    54,869.70x = 82,316.70 × 25,280.40
  4. Step 4: Simplify right side
    54,869.70x = 2,080,999,102.68
  5. Step 5: Solve for x
    x = 2,080,999,102.68/54,869.70
  6. Step 6: Final answer
    x = 37,926.20

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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.