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Finding the Fourth Proportional to 95,297, 142,945.50 and 39,893

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Solution

The fourth proportional to 95,297, 142,945.50 and 39,893 is: 59,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,297 : 142,945.50 = 39,893 : x
  2. Step 2: Convert to fraction form
    95,297/142,945.50 = 39,893/x
  3. Step 3: Cross multiply
    95,297x = 142,945.50 × 39,893
  4. Step 4: Simplify right side
    95,297x = 5,702,524,831.50
  5. Step 5: Solve for x
    x = 5,702,524,831.50/95,297
  6. Step 6: Final answer
    x = 59,839.50

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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.