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Finding the Fourth Proportional to 40,498.70, 55,888.38 and 22,594.46

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Solution

The fourth proportional to 40,498.70, 55,888.38 and 22,594.46 is: 31,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,498.70 : 55,888.38 = 22,594.46 : x
  2. Step 2: Convert to fraction form
    40,498.70/55,888.38 = 22,594.46/x
  3. Step 3: Cross multiply
    40,498.70x = 55,888.38 × 22,594.46
  4. Step 4: Simplify right side
    40,498.70x = 1,262,767,486.93
  5. Step 5: Solve for x
    x = 1,262,767,486.93/40,498.70
  6. Step 6: Final answer
    x = 31,180.45

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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.