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Finding the Fourth Proportional to 32,411, 48,616.50 and 10,523

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Solution

The fourth proportional to 32,411, 48,616.50 and 10,523 is: 15,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,411 : 48,616.50 = 10,523 : x
  2. Step 2: Convert to fraction form
    32,411/48,616.50 = 10,523/x
  3. Step 3: Cross multiply
    32,411x = 48,616.50 × 10,523
  4. Step 4: Simplify right side
    32,411x = 511,591,429.50
  5. Step 5: Solve for x
    x = 511,591,429.50/32,411
  6. Step 6: Final answer
    x = 15,784.50

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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.