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Finding the Fourth Proportional to 95,144.88, 142,717.32 and 39,702

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Solution

The fourth proportional to 95,144.88, 142,717.32 and 39,702 is: 59,553

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,144.88 : 142,717.32 = 39,702 : x
  2. Step 2: Convert to fraction form
    95,144.88/142,717.32 = 39,702/x
  3. Step 3: Cross multiply
    95,144.88x = 142,717.32 × 39,702
  4. Step 4: Simplify right side
    95,144.88x = 5,666,163,038.64
  5. Step 5: Solve for x
    x = 5,666,163,038.64/95,144.88
  6. Step 6: Final answer
    x = 59,553

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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.