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Finding the Fourth Proportional to 49,159.84, 67,840.32 and 27,937.84

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Solution

The fourth proportional to 49,159.84, 67,840.32 and 27,937.84 is: 38,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,159.84 : 67,840.32 = 27,937.84 : x
  2. Step 2: Convert to fraction form
    49,159.84/67,840.32 = 27,937.84/x
  3. Step 3: Cross multiply
    49,159.84x = 67,840.32 × 27,937.84
  4. Step 4: Simplify right side
    49,159.84x = 1,895,312,005.71
  5. Step 5: Solve for x
    x = 1,895,312,005.71/49,159.84
  6. Step 6: Final answer
    x = 38,554.07

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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.