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Finding the Fourth Proportional to 32,580.77, 48,873.87 and 10,397.30

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Solution

The fourth proportional to 32,580.77, 48,873.87 and 10,397.30 is: 15,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.77 : 48,873.87 = 10,397.30 : x
  2. Step 2: Convert to fraction form
    32,580.77/48,873.87 = 10,397.30/x
  3. Step 3: Cross multiply
    32,580.77x = 48,873.87 × 10,397.30
  4. Step 4: Simplify right side
    32,580.77x = 508,156,044.18
  5. Step 5: Solve for x
    x = 508,156,044.18/32,580.77
  6. Step 6: Final answer
    x = 15,596.81

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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.