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Finding the Fourth Proportional to 95,323.50, 142,985.25 and 32,994

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Solution

The fourth proportional to 95,323.50, 142,985.25 and 32,994 is: 49,491

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,323.50 : 142,985.25 = 32,994 : x
  2. Step 2: Convert to fraction form
    95,323.50/142,985.25 = 32,994/x
  3. Step 3: Cross multiply
    95,323.50x = 142,985.25 × 32,994
  4. Step 4: Simplify right side
    95,323.50x = 4,717,655,338.50
  5. Step 5: Solve for x
    x = 4,717,655,338.50/95,323.50
  6. Step 6: Final answer
    x = 49,491

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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.