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Finding the Fourth Proportional to 56,887.28, 78,583.92 and 53,897.84

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Solution

The fourth proportional to 56,887.28, 78,583.92 and 53,897.84 is: 74,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,887.28 : 78,583.92 = 53,897.84 : x
  2. Step 2: Convert to fraction form
    56,887.28/78,583.92 = 53,897.84/x
  3. Step 3: Cross multiply
    56,887.28x = 78,583.92 × 53,897.84
  4. Step 4: Simplify right side
    56,887.28x = 4,235,503,546.73
  5. Step 5: Solve for x
    x = 4,235,503,546.73/56,887.28
  6. Step 6: Final answer
    x = 74,454.32

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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.