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Finding the Fourth Proportional to 56,580.45, 78,081.11 and 31,429.95

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Solution

The fourth proportional to 56,580.45, 78,081.11 and 31,429.95 is: 43,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,580.45 : 78,081.11 = 31,429.95 : x
  2. Step 2: Convert to fraction form
    56,580.45/78,081.11 = 31,429.95/x
  3. Step 3: Cross multiply
    56,580.45x = 78,081.11 × 31,429.95
  4. Step 4: Simplify right side
    56,580.45x = 2,454,085,383.24
  5. Step 5: Solve for x
    x = 2,454,085,383.24/56,580.45
  6. Step 6: Final answer
    x = 43,373.38

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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.