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Finding the Fourth Proportional to 56,288.38, 77,680.40 and 31,137.88

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Solution

The fourth proportional to 56,288.38, 77,680.40 and 31,137.88 is: 42,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,288.38 : 77,680.40 = 31,137.88 : x
  2. Step 2: Convert to fraction form
    56,288.38/77,680.40 = 31,137.88/x
  3. Step 3: Cross multiply
    56,288.38x = 77,680.40 × 31,137.88
  4. Step 4: Simplify right side
    56,288.38x = 2,418,802,973.55
  5. Step 5: Solve for x
    x = 2,418,802,973.55/56,288.38
  6. Step 6: Final answer
    x = 42,971.62

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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.