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Finding the Fourth Proportional to 32,501.39, 48,753.90 and 9,126

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Solution

The fourth proportional to 32,501.39, 48,753.90 and 9,126 is: 13,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.39 : 48,753.90 = 9,126 : x
  2. Step 2: Convert to fraction form
    32,501.39/48,753.90 = 9,126/x
  3. Step 3: Cross multiply
    32,501.39x = 48,753.90 × 9,126
  4. Step 4: Simplify right side
    32,501.39x = 444,928,091.40
  5. Step 5: Solve for x
    x = 444,928,091.40/32,501.39
  6. Step 6: Final answer
    x = 13,689.51

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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.