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Finding the Fourth Proportional to 70,594.40, 105,912.33 and 28,452.84

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Solution

The fourth proportional to 70,594.40, 105,912.33 and 28,452.84 is: 42,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,594.40 : 105,912.33 = 28,452.84 : x
  2. Step 2: Convert to fraction form
    70,594.40/105,912.33 = 28,452.84/x
  3. Step 3: Cross multiply
    70,594.40x = 105,912.33 × 28,452.84
  4. Step 4: Simplify right side
    70,594.40x = 3,013,506,075.65
  5. Step 5: Solve for x
    x = 3,013,506,075.65/70,594.40
  6. Step 6: Final answer
    x = 42,687.61

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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.