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Finding the Fourth Proportional to 31,106.63, 42,927.17 and 16,959.53

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Solution

The fourth proportional to 31,106.63, 42,927.17 and 16,959.53 is: 23,404.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.63 : 42,927.17 = 16,959.53 : x
  2. Step 2: Convert to fraction form
    31,106.63/42,927.17 = 16,959.53/x
  3. Step 3: Cross multiply
    31,106.63x = 42,927.17 × 16,959.53
  4. Step 4: Simplify right side
    31,106.63x = 728,024,328.00
  5. Step 5: Solve for x
    x = 728,024,328.00/31,106.63
  6. Step 6: Final answer
    x = 23,404.16

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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.