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Finding the Fourth Proportional to 56,883.72, 85,315.86 and 15,321

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Solution

The fourth proportional to 56,883.72, 85,315.86 and 15,321 is: 22,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,883.72 : 85,315.86 = 15,321 : x
  2. Step 2: Convert to fraction form
    56,883.72/85,315.86 = 15,321/x
  3. Step 3: Cross multiply
    56,883.72x = 85,315.86 × 15,321
  4. Step 4: Simplify right side
    56,883.72x = 1,307,124,291.06
  5. Step 5: Solve for x
    x = 1,307,124,291.06/56,883.72
  6. Step 6: Final answer
    x = 22,978.88

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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.