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Finding the Fourth Proportional to 52,260.44, 78,387 and 22,699.48

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Solution

The fourth proportional to 52,260.44, 78,387 and 22,699.48 is: 34,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,260.44 : 78,387 = 22,699.48 : x
  2. Step 2: Convert to fraction form
    52,260.44/78,387 = 22,699.48/x
  3. Step 3: Cross multiply
    52,260.44x = 78,387 × 22,699.48
  4. Step 4: Simplify right side
    52,260.44x = 1,779,344,138.76
  5. Step 5: Solve for x
    x = 1,779,344,138.76/52,260.44
  6. Step 6: Final answer
    x = 34,047.63

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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.