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Finding the Fourth Proportional to 56,891.23, 78,509.37 and 31,397.83

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Solution

The fourth proportional to 56,891.23, 78,509.37 and 31,397.83 is: 43,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,891.23 : 78,509.37 = 31,397.83 : x
  2. Step 2: Convert to fraction form
    56,891.23/78,509.37 = 31,397.83/x
  3. Step 3: Cross multiply
    56,891.23x = 78,509.37 × 31,397.83
  4. Step 4: Simplify right side
    56,891.23x = 2,465,023,852.67
  5. Step 5: Solve for x
    x = 2,465,023,852.67/56,891.23
  6. Step 6: Final answer
    x = 43,328.71

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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.