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Finding the Fourth Proportional to 42,034.70, 58,006.12 and 22,914.06

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Solution

The fourth proportional to 42,034.70, 58,006.12 and 22,914.06 is: 31,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,034.70 : 58,006.12 = 22,914.06 : x
  2. Step 2: Convert to fraction form
    42,034.70/58,006.12 = 22,914.06/x
  3. Step 3: Cross multiply
    42,034.70x = 58,006.12 × 22,914.06
  4. Step 4: Simplify right side
    42,034.70x = 1,329,155,714.05
  5. Step 5: Solve for x
    x = 1,329,155,714.05/42,034.70
  6. Step 6: Final answer
    x = 31,620.44

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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.