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Finding the Fourth Proportional to 49,264.84, 67,978.02 and 27,751.51

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Solution

The fourth proportional to 49,264.84, 67,978.02 and 27,751.51 is: 38,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,264.84 : 67,978.02 = 27,751.51 : x
  2. Step 2: Convert to fraction form
    49,264.84/67,978.02 = 27,751.51/x
  3. Step 3: Cross multiply
    49,264.84x = 67,978.02 × 27,751.51
  4. Step 4: Simplify right side
    49,264.84x = 1,886,492,701.81
  5. Step 5: Solve for x
    x = 1,886,492,701.81/49,264.84
  6. Step 6: Final answer
    x = 38,292.88

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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.