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Finding the Fourth Proportional to 29,677.86, 40,954.50 and 16,248.78

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Solution

The fourth proportional to 29,677.86, 40,954.50 and 16,248.78 is: 22,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.86 : 40,954.50 = 16,248.78 : x
  2. Step 2: Convert to fraction form
    29,677.86/40,954.50 = 16,248.78/x
  3. Step 3: Cross multiply
    29,677.86x = 40,954.50 × 16,248.78
  4. Step 4: Simplify right side
    29,677.86x = 665,460,660.51
  5. Step 5: Solve for x
    x = 665,460,660.51/29,677.86
  6. Step 6: Final answer
    x = 22,422.80

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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.