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Finding the Fourth Proportional to 38,374, 57,558.36 and 23,585.20

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Solution

The fourth proportional to 38,374, 57,558.36 and 23,585.20 is: 35,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,374 : 57,558.36 = 23,585.20 : x
  2. Step 2: Convert to fraction form
    38,374/57,558.36 = 23,585.20/x
  3. Step 3: Cross multiply
    38,374x = 57,558.36 × 23,585.20
  4. Step 4: Simplify right side
    38,374x = 1,357,525,432.27
  5. Step 5: Solve for x
    x = 1,357,525,432.27/38,374
  6. Step 6: Final answer
    x = 35,376.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.