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Finding the Fourth Proportional to 54,407.88, 75,130.92 and 34,298.46

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Solution

The fourth proportional to 54,407.88, 75,130.92 and 34,298.46 is: 47,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,407.88 : 75,130.92 = 34,298.46 : x
  2. Step 2: Convert to fraction form
    54,407.88/75,130.92 = 34,298.46/x
  3. Step 3: Cross multiply
    54,407.88x = 75,130.92 × 34,298.46
  4. Step 4: Simplify right side
    54,407.88x = 2,576,874,854.38
  5. Step 5: Solve for x
    x = 2,576,874,854.38/54,407.88
  6. Step 6: Final answer
    x = 47,362.16

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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.