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Finding the Fourth Proportional to 45,133, 62,269.14 and 29,229.64

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Solution

The fourth proportional to 45,133, 62,269.14 and 29,229.64 is: 40,327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,133 : 62,269.14 = 29,229.64 : x
  2. Step 2: Convert to fraction form
    45,133/62,269.14 = 29,229.64/x
  3. Step 3: Cross multiply
    45,133x = 62,269.14 × 29,229.64
  4. Step 4: Simplify right side
    45,133x = 1,820,104,545.31
  5. Step 5: Solve for x
    x = 1,820,104,545.31/45,133
  6. Step 6: Final answer
    x = 40,327.58

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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.