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Finding the Fourth Proportional to 55,670.91, 83,551.16 and 31,669.95

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Solution

The fourth proportional to 55,670.91, 83,551.16 and 31,669.95 is: 47,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,670.91 : 83,551.16 = 31,669.95 : x
  2. Step 2: Convert to fraction form
    55,670.91/83,551.16 = 31,669.95/x
  3. Step 3: Cross multiply
    55,670.91x = 83,551.16 × 31,669.95
  4. Step 4: Simplify right side
    55,670.91x = 2,646,061,452.13
  5. Step 5: Solve for x
    x = 2,646,061,452.13/55,670.91
  6. Step 6: Final answer
    x = 47,530.42

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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.