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Finding the Fourth Proportional to 32,290.77, 48,410.02 and 10,092.72

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Solution

The fourth proportional to 32,290.77, 48,410.02 and 10,092.72 is: 15,130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.77 : 48,410.02 = 10,092.72 : x
  2. Step 2: Convert to fraction form
    32,290.77/48,410.02 = 10,092.72/x
  3. Step 3: Cross multiply
    32,290.77x = 48,410.02 × 10,092.72
  4. Step 4: Simplify right side
    32,290.77x = 488,588,484.54
  5. Step 5: Solve for x
    x = 488,588,484.54/32,290.77
  6. Step 6: Final answer
    x = 15,130.90

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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.