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Finding the Fourth Proportional to 49,056.76, 67,707.66 and 27,838

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Solution

The fourth proportional to 49,056.76, 67,707.66 and 27,838 is: 38,421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,056.76 : 67,707.66 = 27,838 : x
  2. Step 2: Convert to fraction form
    49,056.76/67,707.66 = 27,838/x
  3. Step 3: Cross multiply
    49,056.76x = 67,707.66 × 27,838
  4. Step 4: Simplify right side
    49,056.76x = 1,884,845,839.08
  5. Step 5: Solve for x
    x = 1,884,845,839.08/49,056.76
  6. Step 6: Final answer
    x = 38,421.74

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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.