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Finding the Fourth Proportional to 252,011.50, 378,024.54 and 65,023

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Solution

The fourth proportional to 252,011.50, 378,024.54 and 65,023 is: 97,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,011.50 : 378,024.54 = 65,023 : x
  2. Step 2: Convert to fraction form
    252,011.50/378,024.54 = 65,023/x
  3. Step 3: Cross multiply
    252,011.50x = 378,024.54 × 65,023
  4. Step 4: Simplify right side
    252,011.50x = 24,580,289,664.42
  5. Step 5: Solve for x
    x = 24,580,289,664.42/252,011.50
  6. Step 6: Final answer
    x = 97,536.38

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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.