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Finding the Fourth Proportional to 42,045.14, 63,107.07 and 21,283.22

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Solution

The fourth proportional to 42,045.14, 63,107.07 and 21,283.22 is: 31,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,045.14 : 63,107.07 = 21,283.22 : x
  2. Step 2: Convert to fraction form
    42,045.14/63,107.07 = 21,283.22/x
  3. Step 3: Cross multiply
    42,045.14x = 63,107.07 × 21,283.22
  4. Step 4: Simplify right side
    42,045.14x = 1,343,121,654.37
  5. Step 5: Solve for x
    x = 1,343,121,654.37/42,045.14
  6. Step 6: Final answer
    x = 31,944.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.