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Finding the Fourth Proportional to 52,117.74, 71,922.30 and 28,245

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Solution

The fourth proportional to 52,117.74, 71,922.30 and 28,245 is: 38,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,117.74 : 71,922.30 = 28,245 : x
  2. Step 2: Convert to fraction form
    52,117.74/71,922.30 = 28,245/x
  3. Step 3: Cross multiply
    52,117.74x = 71,922.30 × 28,245
  4. Step 4: Simplify right side
    52,117.74x = 2,031,445,363.50
  5. Step 5: Solve for x
    x = 2,031,445,363.50/52,117.74
  6. Step 6: Final answer
    x = 38,978.00

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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.