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Finding the Fourth Proportional to 32,570.46, 44,947.22 and 17,666.46

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Solution

The fourth proportional to 32,570.46, 44,947.22 and 17,666.46 is: 24,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.46 : 44,947.22 = 17,666.46 : x
  2. Step 2: Convert to fraction form
    32,570.46/44,947.22 = 17,666.46/x
  3. Step 3: Cross multiply
    32,570.46x = 44,947.22 × 17,666.46
  4. Step 4: Simplify right side
    32,570.46x = 794,058,175.91
  5. Step 5: Solve for x
    x = 794,058,175.91/32,570.46
  6. Step 6: Final answer
    x = 24,379.70

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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.