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Finding the Fourth Proportional to 56,553.19, 78,043.40 and 31,402.69

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Solution

The fourth proportional to 56,553.19, 78,043.40 and 31,402.69 is: 43,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,553.19 : 78,043.40 = 31,402.69 : x
  2. Step 2: Convert to fraction form
    56,553.19/78,043.40 = 31,402.69/x
  3. Step 3: Cross multiply
    56,553.19x = 78,043.40 × 31,402.69
  4. Step 4: Simplify right side
    56,553.19x = 2,450,772,462.38
  5. Step 5: Solve for x
    x = 2,450,772,462.38/56,553.19
  6. Step 6: Final answer
    x = 43,335.71

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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.