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Finding the Fourth Proportional to 83,293.96, 124,927.98 and 27,877

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Solution

The fourth proportional to 83,293.96, 124,927.98 and 27,877 is: 41,811.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,293.96 : 124,927.98 = 27,877 : x
  2. Step 2: Convert to fraction form
    83,293.96/124,927.98 = 27,877/x
  3. Step 3: Cross multiply
    83,293.96x = 124,927.98 × 27,877
  4. Step 4: Simplify right side
    83,293.96x = 3,482,617,298.46
  5. Step 5: Solve for x
    x = 3,482,617,298.46/83,293.96
  6. Step 6: Final answer
    x = 41,811.16

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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.