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Finding the Fourth Proportional to 31,700.85, 47,552.74 and 17,650.30

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Solution

The fourth proportional to 31,700.85, 47,552.74 and 17,650.30 is: 26,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.85 : 47,552.74 = 17,650.30 : x
  2. Step 2: Convert to fraction form
    31,700.85/47,552.74 = 17,650.30/x
  3. Step 3: Cross multiply
    31,700.85x = 47,552.74 × 17,650.30
  4. Step 4: Simplify right side
    31,700.85x = 839,319,963.81
  5. Step 5: Solve for x
    x = 839,319,963.81/31,700.85
  6. Step 6: Final answer
    x = 26,476.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.