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Finding the Fourth Proportional to 48,774.72, 67,309.56 and 27,554.16

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Solution

The fourth proportional to 48,774.72, 67,309.56 and 27,554.16 is: 38,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,774.72 : 67,309.56 = 27,554.16 : x
  2. Step 2: Convert to fraction form
    48,774.72/67,309.56 = 27,554.16/x
  3. Step 3: Cross multiply
    48,774.72x = 67,309.56 × 27,554.16
  4. Step 4: Simplify right side
    48,774.72x = 1,854,658,385.77
  5. Step 5: Solve for x
    x = 1,854,658,385.77/48,774.72
  6. Step 6: Final answer
    x = 38,024.99

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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.