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Finding the Fourth Proportional to 31,762.88, 43,834.98 and 17,617.04

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Solution

The fourth proportional to 31,762.88, 43,834.98 and 17,617.04 is: 24,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.88 : 43,834.98 = 17,617.04 : x
  2. Step 2: Convert to fraction form
    31,762.88/43,834.98 = 17,617.04/x
  3. Step 3: Cross multiply
    31,762.88x = 43,834.98 × 17,617.04
  4. Step 4: Simplify right side
    31,762.88x = 772,242,596.06
  5. Step 5: Solve for x
    x = 772,242,596.06/31,762.88
  6. Step 6: Final answer
    x = 24,312.74

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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.