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Finding the Fourth Proportional to 31,182.84, 43,031.93 and 17,035.65

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Solution

The fourth proportional to 31,182.84, 43,031.93 and 17,035.65 is: 23,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.84 : 43,031.93 = 17,035.65 : x
  2. Step 2: Convert to fraction form
    31,182.84/43,031.93 = 17,035.65/x
  3. Step 3: Cross multiply
    31,182.84x = 43,031.93 × 17,035.65
  4. Step 4: Simplify right side
    31,182.84x = 733,076,813.13
  5. Step 5: Solve for x
    x = 733,076,813.13/31,182.84
  6. Step 6: Final answer
    x = 23,508.98

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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.