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Finding the Fourth Proportional to 37,316.48, 51,454.08 and 27,869.12

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Solution

The fourth proportional to 37,316.48, 51,454.08 and 27,869.12 is: 38,427.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,316.48 : 51,454.08 = 27,869.12 : x
  2. Step 2: Convert to fraction form
    37,316.48/51,454.08 = 27,869.12/x
  3. Step 3: Cross multiply
    37,316.48x = 51,454.08 × 27,869.12
  4. Step 4: Simplify right side
    37,316.48x = 1,433,979,930.01
  5. Step 5: Solve for x
    x = 1,433,979,930.01/37,316.48
  6. Step 6: Final answer
    x = 38,427.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.