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Finding the Fourth Proportional to 52,114.74, 71,918.16 and 28,242

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Solution

The fourth proportional to 52,114.74, 71,918.16 and 28,242 is: 38,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,114.74 : 71,918.16 = 28,242 : x
  2. Step 2: Convert to fraction form
    52,114.74/71,918.16 = 28,242/x
  3. Step 3: Cross multiply
    52,114.74x = 71,918.16 × 28,242
  4. Step 4: Simplify right side
    52,114.74x = 2,031,112,674.72
  5. Step 5: Solve for x
    x = 2,031,112,674.72/52,114.74
  6. Step 6: Final answer
    x = 38,973.86

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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.