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Finding the Fourth Proportional to 42,109, 58,109.50 and 22,988.12

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Solution

The fourth proportional to 42,109, 58,109.50 and 22,988.12 is: 31,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,109 : 58,109.50 = 22,988.12 : x
  2. Step 2: Convert to fraction form
    42,109/58,109.50 = 22,988.12/x
  3. Step 3: Cross multiply
    42,109x = 58,109.50 × 22,988.12
  4. Step 4: Simplify right side
    42,109x = 1,335,828,159.14
  5. Step 5: Solve for x
    x = 1,335,828,159.14/42,109
  6. Step 6: Final answer
    x = 31,723.10

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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.