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Finding the Fourth Proportional to 42,412.84, 58,530.02 and 23,294.44

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Solution

The fourth proportional to 42,412.84, 58,530.02 and 23,294.44 is: 32,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,412.84 : 58,530.02 = 23,294.44 : x
  2. Step 2: Convert to fraction form
    42,412.84/58,530.02 = 23,294.44/x
  3. Step 3: Cross multiply
    42,412.84x = 58,530.02 × 23,294.44
  4. Step 4: Simplify right side
    42,412.84x = 1,363,424,039.09
  5. Step 5: Solve for x
    x = 1,363,424,039.09/42,412.84
  6. Step 6: Final answer
    x = 32,146.49

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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.