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Finding the Fourth Proportional to 41,490, 57,257.64 and 23,585.76

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Solution

The fourth proportional to 41,490, 57,257.64 and 23,585.76 is: 32,549.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,490 : 57,257.64 = 23,585.76 : x
  2. Step 2: Convert to fraction form
    41,490/57,257.64 = 23,585.76/x
  3. Step 3: Cross multiply
    41,490x = 57,257.64 × 23,585.76
  4. Step 4: Simplify right side
    41,490x = 1,350,464,955.21
  5. Step 5: Solve for x
    x = 1,350,464,955.21/41,490
  6. Step 6: Final answer
    x = 32,549.17

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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.