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Finding the Fourth Proportional to 31,076.89, 42,886.08 and 16,929.74

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Solution

The fourth proportional to 31,076.89, 42,886.08 and 16,929.74 is: 23,363.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.89 : 42,886.08 = 16,929.74 : x
  2. Step 2: Convert to fraction form
    31,076.89/42,886.08 = 16,929.74/x
  3. Step 3: Cross multiply
    31,076.89x = 42,886.08 × 16,929.74
  4. Step 4: Simplify right side
    31,076.89x = 726,050,291.23
  5. Step 5: Solve for x
    x = 726,050,291.23/31,076.89
  6. Step 6: Final answer
    x = 23,363.03

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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.