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Finding the Fourth Proportional to 32,585.50, 48,801.68 and 15,893.24

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Solution

The fourth proportional to 32,585.50, 48,801.68 and 15,893.24 is: 23,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.50 : 48,801.68 = 15,893.24 : x
  2. Step 2: Convert to fraction form
    32,585.50/48,801.68 = 15,893.24/x
  3. Step 3: Cross multiply
    32,585.50x = 48,801.68 × 15,893.24
  4. Step 4: Simplify right side
    32,585.50x = 775,616,812.64
  5. Step 5: Solve for x
    x = 775,616,812.64/32,585.50
  6. Step 6: Final answer
    x = 23,802.51

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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.