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Finding the Fourth Proportional to 105,567.92, 145,683.78 and 57,824.30

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Solution

The fourth proportional to 105,567.92, 145,683.78 and 57,824.30 is: 79,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,567.92 : 145,683.78 = 57,824.30 : x
  2. Step 2: Convert to fraction form
    105,567.92/145,683.78 = 57,824.30/x
  3. Step 3: Cross multiply
    105,567.92x = 145,683.78 × 57,824.30
  4. Step 4: Simplify right side
    105,567.92x = 8,424,062,599.85
  5. Step 5: Solve for x
    x = 8,424,062,599.85/105,567.92
  6. Step 6: Final answer
    x = 79,797.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.