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Finding the Fourth Proportional to 32,457, 48,685.50 and 10,569

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Solution

The fourth proportional to 32,457, 48,685.50 and 10,569 is: 15,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,457 : 48,685.50 = 10,569 : x
  2. Step 2: Convert to fraction form
    32,457/48,685.50 = 10,569/x
  3. Step 3: Cross multiply
    32,457x = 48,685.50 × 10,569
  4. Step 4: Simplify right side
    32,457x = 514,557,049.50
  5. Step 5: Solve for x
    x = 514,557,049.50/32,457
  6. Step 6: Final answer
    x = 15,853.50

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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.