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Finding the Fourth Proportional to 57,098.68, 85,649.90 and 19,658.36

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Solution

The fourth proportional to 57,098.68, 85,649.90 and 19,658.36 is: 29,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,098.68 : 85,649.90 = 19,658.36 : x
  2. Step 2: Convert to fraction form
    57,098.68/85,649.90 = 19,658.36/x
  3. Step 3: Cross multiply
    57,098.68x = 85,649.90 × 19,658.36
  4. Step 4: Simplify right side
    57,098.68x = 1,683,736,568.16
  5. Step 5: Solve for x
    x = 1,683,736,568.16/57,098.68
  6. Step 6: Final answer
    x = 29,488.19

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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.