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Finding the Fourth Proportional to 40,565.76, 55,981.16 and 22,658.67

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Solution

The fourth proportional to 40,565.76, 55,981.16 and 22,658.67 is: 31,269.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,565.76 : 55,981.16 = 22,658.67 : x
  2. Step 2: Convert to fraction form
    40,565.76/55,981.16 = 22,658.67/x
  3. Step 3: Cross multiply
    40,565.76x = 55,981.16 × 22,658.67
  4. Step 4: Simplify right side
    40,565.76x = 1,268,458,602.33
  5. Step 5: Solve for x
    x = 1,268,458,602.33/40,565.76
  6. Step 6: Final answer
    x = 31,269.19

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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.