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Finding the Fourth Proportional to 32,572.48, 48,865.74 and 10,083.10

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Solution

The fourth proportional to 32,572.48, 48,865.74 and 10,083.10 is: 15,126.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,572.48 : 48,865.74 = 10,083.10 : x
  2. Step 2: Convert to fraction form
    32,572.48/48,865.74 = 10,083.10/x
  3. Step 3: Cross multiply
    32,572.48x = 48,865.74 × 10,083.10
  4. Step 4: Simplify right side
    32,572.48x = 492,718,142.99
  5. Step 5: Solve for x
    x = 492,718,142.99/32,572.48
  6. Step 6: Final answer
    x = 15,126.82

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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.