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Finding the Fourth Proportional to 41,465.64, 57,222.59 and 22,602.77

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Solution

The fourth proportional to 41,465.64, 57,222.59 and 22,602.77 is: 31,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,465.64 : 57,222.59 = 22,602.77 : x
  2. Step 2: Convert to fraction form
    41,465.64/57,222.59 = 22,602.77/x
  3. Step 3: Cross multiply
    41,465.64x = 57,222.59 × 22,602.77
  4. Step 4: Simplify right side
    41,465.64x = 1,293,388,856.03
  5. Step 5: Solve for x
    x = 1,293,388,856.03/41,465.64
  6. Step 6: Final answer
    x = 31,191.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.