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Finding the Fourth Proportional to 31,762.34, 43,827.36 and 17,615.30

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Solution

The fourth proportional to 31,762.34, 43,827.36 and 17,615.30 is: 24,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.34 : 43,827.36 = 17,615.30 : x
  2. Step 2: Convert to fraction form
    31,762.34/43,827.36 = 17,615.30/x
  3. Step 3: Cross multiply
    31,762.34x = 43,827.36 × 17,615.30
  4. Step 4: Simplify right side
    31,762.34x = 772,032,094.61
  5. Step 5: Solve for x
    x = 772,032,094.61/31,762.34
  6. Step 6: Final answer
    x = 24,306.52

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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.