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Finding the Fourth Proportional to 42,178.84, 58,206.54 and 23,314.48

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Solution

The fourth proportional to 42,178.84, 58,206.54 and 23,314.48 is: 32,173.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,178.84 : 58,206.54 = 23,314.48 : x
  2. Step 2: Convert to fraction form
    42,178.84/58,206.54 = 23,314.48/x
  3. Step 3: Cross multiply
    42,178.84x = 58,206.54 × 23,314.48
  4. Step 4: Simplify right side
    42,178.84x = 1,357,055,212.70
  5. Step 5: Solve for x
    x = 1,357,055,212.70/42,178.84
  6. Step 6: Final answer
    x = 32,173.84

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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.