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Finding the Fourth Proportional to 27,029.12, 40,545.77 and 7,307.78

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Solution

The fourth proportional to 27,029.12, 40,545.77 and 7,307.78 is: 10,962.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029.12 : 40,545.77 = 7,307.78 : x
  2. Step 2: Convert to fraction form
    27,029.12/40,545.77 = 7,307.78/x
  3. Step 3: Cross multiply
    27,029.12x = 40,545.77 × 7,307.78
  4. Step 4: Simplify right side
    27,029.12x = 296,299,327.82
  5. Step 5: Solve for x
    x = 296,299,327.82/27,029.12
  6. Step 6: Final answer
    x = 10,962.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.