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Finding the Fourth Proportional to 58,772.16, 81,049.44 and 38,646

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Solution

The fourth proportional to 58,772.16, 81,049.44 and 38,646 is: 53,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,772.16 : 81,049.44 = 38,646 : x
  2. Step 2: Convert to fraction form
    58,772.16/81,049.44 = 38,646/x
  3. Step 3: Cross multiply
    58,772.16x = 81,049.44 × 38,646
  4. Step 4: Simplify right side
    58,772.16x = 3,132,236,658.24
  5. Step 5: Solve for x
    x = 3,132,236,658.24/58,772.16
  6. Step 6: Final answer
    x = 53,294.56

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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.