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Finding the Fourth Proportional to 56,218.38, 77,574.96 and 34,704.24

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Solution

The fourth proportional to 56,218.38, 77,574.96 and 34,704.24 is: 47,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,218.38 : 77,574.96 = 34,704.24 : x
  2. Step 2: Convert to fraction form
    56,218.38/77,574.96 = 34,704.24/x
  3. Step 3: Cross multiply
    56,218.38x = 77,574.96 × 34,704.24
  4. Step 4: Simplify right side
    56,218.38x = 2,692,180,029.83
  5. Step 5: Solve for x
    x = 2,692,180,029.83/56,218.38
  6. Step 6: Final answer
    x = 47,887.90

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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.