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Finding the Fourth Proportional to 31,700.34, 43,746.48 and 17,553.19

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Solution

The fourth proportional to 31,700.34, 43,746.48 and 17,553.19 is: 24,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.34 : 43,746.48 = 17,553.19 : x
  2. Step 2: Convert to fraction form
    31,700.34/43,746.48 = 17,553.19/x
  3. Step 3: Cross multiply
    31,700.34x = 43,746.48 × 17,553.19
  4. Step 4: Simplify right side
    31,700.34x = 767,890,100.08
  5. Step 5: Solve for x
    x = 767,890,100.08/31,700.34
  6. Step 6: Final answer
    x = 24,223.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.