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Finding the Fourth Proportional to 83,641.74, 115,427.19 and 45,916.38

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Solution

The fourth proportional to 83,641.74, 115,427.19 and 45,916.38 is: 63,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,641.74 : 115,427.19 = 45,916.38 : x
  2. Step 2: Convert to fraction form
    83,641.74/115,427.19 = 45,916.38/x
  3. Step 3: Cross multiply
    83,641.74x = 115,427.19 × 45,916.38
  4. Step 4: Simplify right side
    83,641.74x = 5,299,998,718.37
  5. Step 5: Solve for x
    x = 5,299,998,718.37/83,641.74
  6. Step 6: Final answer
    x = 63,365.48

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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.