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Finding the Fourth Proportional to 27,045, 40,573.98 and 8,577

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Solution

The fourth proportional to 27,045, 40,573.98 and 8,577 is: 12,867.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,045 : 40,573.98 = 8,577 : x
  2. Step 2: Convert to fraction form
    27,045/40,573.98 = 8,577/x
  3. Step 3: Cross multiply
    27,045x = 40,573.98 × 8,577
  4. Step 4: Simplify right side
    27,045x = 348,003,026.46
  5. Step 5: Solve for x
    x = 348,003,026.46/27,045
  6. Step 6: Final answer
    x = 12,867.56

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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.