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Finding the Fourth Proportional to 40,454.50, 55,829.12 and 22,549.63

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Solution

The fourth proportional to 40,454.50, 55,829.12 and 22,549.63 is: 31,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,454.50 : 55,829.12 = 22,549.63 : x
  2. Step 2: Convert to fraction form
    40,454.50/55,829.12 = 22,549.63/x
  3. Step 3: Cross multiply
    40,454.50x = 55,829.12 × 22,549.63
  4. Step 4: Simplify right side
    40,454.50x = 1,258,925,999.23
  5. Step 5: Solve for x
    x = 1,258,925,999.23/40,454.50
  6. Step 6: Final answer
    x = 31,119.55

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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.