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Finding the Fourth Proportional to 52,092.16, 71,887.32 and 28,218.76

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Solution

The fourth proportional to 52,092.16, 71,887.32 and 28,218.76 is: 38,941.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,092.16 : 71,887.32 = 28,218.76 : x
  2. Step 2: Convert to fraction form
    52,092.16/71,887.32 = 28,218.76/x
  3. Step 3: Cross multiply
    52,092.16x = 71,887.32 × 28,218.76
  4. Step 4: Simplify right side
    52,092.16x = 2,028,571,030.12
  5. Step 5: Solve for x
    x = 2,028,571,030.12/52,092.16
  6. Step 6: Final answer
    x = 38,941.96

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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.