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Finding the Fourth Proportional to 31,033, 42,826.08 and 16,886.08

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Solution

The fourth proportional to 31,033, 42,826.08 and 16,886.08 is: 23,303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033 : 42,826.08 = 16,886.08 : x
  2. Step 2: Convert to fraction form
    31,033/42,826.08 = 16,886.08/x
  3. Step 3: Cross multiply
    31,033x = 42,826.08 × 16,886.08
  4. Step 4: Simplify right side
    31,033x = 723,164,612.97
  5. Step 5: Solve for x
    x = 723,164,612.97/31,033
  6. Step 6: Final answer
    x = 23,303.08

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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.