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Finding the Fourth Proportional to 82,683.90, 124,097.84 and 47,216.24

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Solution

The fourth proportional to 82,683.90, 124,097.84 and 47,216.24 is: 70,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,683.90 : 124,097.84 = 47,216.24 : x
  2. Step 2: Convert to fraction form
    82,683.90/124,097.84 = 47,216.24/x
  3. Step 3: Cross multiply
    82,683.90x = 124,097.84 × 47,216.24
  4. Step 4: Simplify right side
    82,683.90x = 5,859,433,396.92
  5. Step 5: Solve for x
    x = 5,859,433,396.92/82,683.90
  6. Step 6: Final answer
    x = 70,865.47

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1.5x scale

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.