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Finding the Fourth Proportional to 35,343.92, 48,760.64 and 22,776

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Solution

The fourth proportional to 35,343.92, 48,760.64 and 22,776 is: 31,421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,343.92 : 48,760.64 = 22,776 : x
  2. Step 2: Convert to fraction form
    35,343.92/48,760.64 = 22,776/x
  3. Step 3: Cross multiply
    35,343.92x = 48,760.64 × 22,776
  4. Step 4: Simplify right side
    35,343.92x = 1,110,572,336.64
  5. Step 5: Solve for x
    x = 1,110,572,336.64/35,343.92
  6. Step 6: Final answer
    x = 31,421.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.