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Finding the Fourth Proportional to 45,312.68, 62,509.80 and 31,891.38

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Solution

The fourth proportional to 45,312.68, 62,509.80 and 31,891.38 is: 43,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,312.68 : 62,509.80 = 31,891.38 : x
  2. Step 2: Convert to fraction form
    45,312.68/62,509.80 = 31,891.38/x
  3. Step 3: Cross multiply
    45,312.68x = 62,509.80 × 31,891.38
  4. Step 4: Simplify right side
    45,312.68x = 1,993,523,785.52
  5. Step 5: Solve for x
    x = 1,993,523,785.52/45,312.68
  6. Step 6: Final answer
    x = 43,994.83

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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.