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Finding the Fourth Proportional to 31,762.32, 43,829.80 and 17,615.76

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Solution

The fourth proportional to 31,762.32, 43,829.80 and 17,615.76 is: 24,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,762.32 : 43,829.80 = 17,615.76 : x
  2. Step 2: Convert to fraction form
    31,762.32/43,829.80 = 17,615.76/x
  3. Step 3: Cross multiply
    31,762.32x = 43,829.80 × 17,615.76
  4. Step 4: Simplify right side
    31,762.32x = 772,095,237.65
  5. Step 5: Solve for x
    x = 772,095,237.65/31,762.32
  6. Step 6: Final answer
    x = 24,308.53

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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.