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Finding the Fourth Proportional to 29,326.46, 40,461 and 16,578.41

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Solution

The fourth proportional to 29,326.46, 40,461 and 16,578.41 is: 22,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,326.46 : 40,461 = 16,578.41 : x
  2. Step 2: Convert to fraction form
    29,326.46/40,461 = 16,578.41/x
  3. Step 3: Cross multiply
    29,326.46x = 40,461 × 16,578.41
  4. Step 4: Simplify right side
    29,326.46x = 670,779,047.01
  5. Step 5: Solve for x
    x = 670,779,047.01/29,326.46
  6. Step 6: Final answer
    x = 22,872.83

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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.