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Finding the Fourth Proportional to 31,762.90, 43,830.21 and 17,422.48

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Solution

The fourth proportional to 31,762.90, 43,830.21 and 17,422.48 is: 24,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.90 : 43,830.21 = 17,422.48 : x
  2. Step 2: Convert to fraction form
    31,762.90/43,830.21 = 17,422.48/x
  3. Step 3: Cross multiply
    31,762.90x = 43,830.21 × 17,422.48
  4. Step 4: Simplify right side
    31,762.90x = 763,630,957.12
  5. Step 5: Solve for x
    x = 763,630,957.12/31,762.90
  6. Step 6: Final answer
    x = 24,041.60

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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.