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Finding the Fourth Proportional to 70,282.59, 105,486.26 and 32,863.02

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Solution

The fourth proportional to 70,282.59, 105,486.26 and 32,863.02 is: 49,323.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,282.59 : 105,486.26 = 32,863.02 : x
  2. Step 2: Convert to fraction form
    70,282.59/105,486.26 = 32,863.02/x
  3. Step 3: Cross multiply
    70,282.59x = 105,486.26 × 32,863.02
  4. Step 4: Simplify right side
    70,282.59x = 3,466,596,907.79
  5. Step 5: Solve for x
    x = 3,466,596,907.79/70,282.59
  6. Step 6: Final answer
    x = 49,323.69

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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.