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Finding the Fourth Proportional to 31,036.49, 42,830.16 and 16,889.39

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Solution

The fourth proportional to 31,036.49, 42,830.16 and 16,889.39 is: 23,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.49 : 42,830.16 = 16,889.39 : x
  2. Step 2: Convert to fraction form
    31,036.49/42,830.16 = 16,889.39/x
  3. Step 3: Cross multiply
    31,036.49x = 42,830.16 × 16,889.39
  4. Step 4: Simplify right side
    31,036.49x = 723,375,276.00
  5. Step 5: Solve for x
    x = 723,375,276.00/31,036.49
  6. Step 6: Final answer
    x = 23,307.25

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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.