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Finding the Fourth Proportional to 53,197.71, 73,412.82 and 29,324.78

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Solution

The fourth proportional to 53,197.71, 73,412.82 and 29,324.78 is: 40,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,197.71 : 73,412.82 = 29,324.78 : x
  2. Step 2: Convert to fraction form
    53,197.71/73,412.82 = 29,324.78/x
  3. Step 3: Cross multiply
    53,197.71x = 73,412.82 × 29,324.78
  4. Step 4: Simplify right side
    53,197.71x = 2,152,814,795.68
  5. Step 5: Solve for x
    x = 2,152,814,795.68/53,197.71
  6. Step 6: Final answer
    x = 40,468.19

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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.