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Finding the Fourth Proportional to 56,305.50, 77,704.02 and 31,155

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Solution

The fourth proportional to 56,305.50, 77,704.02 and 31,155 is: 42,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,305.50 : 77,704.02 = 31,155 : x
  2. Step 2: Convert to fraction form
    56,305.50/77,704.02 = 31,155/x
  3. Step 3: Cross multiply
    56,305.50x = 77,704.02 × 31,155
  4. Step 4: Simplify right side
    56,305.50x = 2,420,868,743.10
  5. Step 5: Solve for x
    x = 2,420,868,743.10/56,305.50
  6. Step 6: Final answer
    x = 42,995.24

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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.