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Finding the Fourth Proportional to 252,012.50, 378,026.04 and 65,024

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Solution

The fourth proportional to 252,012.50, 378,026.04 and 65,024 is: 97,537.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,012.50 : 378,026.04 = 65,024 : x
  2. Step 2: Convert to fraction form
    252,012.50/378,026.04 = 65,024/x
  3. Step 3: Cross multiply
    252,012.50x = 378,026.04 × 65,024
  4. Step 4: Simplify right side
    252,012.50x = 24,580,765,224.96
  5. Step 5: Solve for x
    x = 24,580,765,224.96/252,012.50
  6. Step 6: Final answer
    x = 97,537.88

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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.