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Finding the Fourth Proportional to 52,049.08, 71,828.13 and 28,176.22

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Solution

The fourth proportional to 52,049.08, 71,828.13 and 28,176.22 is: 38,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049.08 : 71,828.13 = 28,176.22 : x
  2. Step 2: Convert to fraction form
    52,049.08/71,828.13 = 28,176.22/x
  3. Step 3: Cross multiply
    52,049.08x = 71,828.13 × 28,176.22
  4. Step 4: Simplify right side
    52,049.08x = 2,023,845,193.07
  5. Step 5: Solve for x
    x = 2,023,845,193.07/52,049.08
  6. Step 6: Final answer
    x = 38,883.40

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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.