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Finding the Fourth Proportional to 40,288.96, 55,598.40 and 22,384

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Solution

The fourth proportional to 40,288.96, 55,598.40 and 22,384 is: 30,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,288.96 : 55,598.40 = 22,384 : x
  2. Step 2: Convert to fraction form
    40,288.96/55,598.40 = 22,384/x
  3. Step 3: Cross multiply
    40,288.96x = 55,598.40 × 22,384
  4. Step 4: Simplify right side
    40,288.96x = 1,244,514,585.60
  5. Step 5: Solve for x
    x = 1,244,514,585.60/40,288.96
  6. Step 6: Final answer
    x = 30,889.72

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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.