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Finding the Fourth Proportional to 55,964.61, 77,233.01 and 30,472.02

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Solution

The fourth proportional to 55,964.61, 77,233.01 and 30,472.02 is: 42,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,964.61 : 77,233.01 = 30,472.02 : x
  2. Step 2: Convert to fraction form
    55,964.61/77,233.01 = 30,472.02/x
  3. Step 3: Cross multiply
    55,964.61x = 77,233.01 × 30,472.02
  4. Step 4: Simplify right side
    55,964.61x = 2,353,445,673.02
  5. Step 5: Solve for x
    x = 2,353,445,673.02/55,964.61
  6. Step 6: Final answer
    x = 42,052.39

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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.