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Finding the Fourth Proportional to 49,134.12, 67,806.90 and 27,916.98

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Solution

The fourth proportional to 49,134.12, 67,806.90 and 27,916.98 is: 38,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134.12 : 67,806.90 = 27,916.98 : x
  2. Step 2: Convert to fraction form
    49,134.12/67,806.90 = 27,916.98/x
  3. Step 3: Cross multiply
    49,134.12x = 67,806.90 × 27,916.98
  4. Step 4: Simplify right side
    49,134.12x = 1,892,963,871.16
  5. Step 5: Solve for x
    x = 1,892,963,871.16/49,134.12
  6. Step 6: Final answer
    x = 38,526.46

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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.