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Finding the Fourth Proportional to 31,044.94, 42,842.01 and 16,897.88

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Solution

The fourth proportional to 31,044.94, 42,842.01 and 16,897.88 is: 23,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044.94 : 42,842.01 = 16,897.88 : x
  2. Step 2: Convert to fraction form
    31,044.94/42,842.01 = 16,897.88/x
  3. Step 3: Cross multiply
    31,044.94x = 42,842.01 × 16,897.88
  4. Step 4: Simplify right side
    31,044.94x = 723,939,143.94
  5. Step 5: Solve for x
    x = 723,939,143.94/31,044.94
  6. Step 6: Final answer
    x = 23,319.07

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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.