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Finding the Fourth Proportional to 49,884.16, 68,840 and 27,528

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Solution

The fourth proportional to 49,884.16, 68,840 and 27,528 is: 37,988.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,884.16 : 68,840 = 27,528 : x
  2. Step 2: Convert to fraction form
    49,884.16/68,840 = 27,528/x
  3. Step 3: Cross multiply
    49,884.16x = 68,840 × 27,528
  4. Step 4: Simplify right side
    49,884.16x = 1,895,027,520
  5. Step 5: Solve for x
    x = 1,895,027,520/49,884.16
  6. Step 6: Final answer
    x = 37,988.56

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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.