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Finding the Fourth Proportional to 31,602.29, 43,607.43 and 17,454.29

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Solution

The fourth proportional to 31,602.29, 43,607.43 and 17,454.29 is: 24,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,602.29 : 43,607.43 = 17,454.29 : x
  2. Step 2: Convert to fraction form
    31,602.29/43,607.43 = 17,454.29/x
  3. Step 3: Cross multiply
    31,602.29x = 43,607.43 × 17,454.29
  4. Step 4: Simplify right side
    31,602.29x = 761,136,729.37
  5. Step 5: Solve for x
    x = 761,136,729.37/31,602.29
  6. Step 6: Final answer
    x = 24,084.86

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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.