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Finding the Fourth Proportional to 38,585.41, 57,880.36 and 14,893.09

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Solution

The fourth proportional to 38,585.41, 57,880.36 and 14,893.09 is: 22,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.41 : 57,880.36 = 14,893.09 : x
  2. Step 2: Convert to fraction form
    38,585.41/57,880.36 = 14,893.09/x
  3. Step 3: Cross multiply
    38,585.41x = 57,880.36 × 14,893.09
  4. Step 4: Simplify right side
    38,585.41x = 862,017,445.83
  5. Step 5: Solve for x
    x = 862,017,445.83/38,585.41
  6. Step 6: Final answer
    x = 22,340.50

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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.