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Finding the Fourth Proportional to 42,147.84, 58,164 and 23,284.80

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Solution

The fourth proportional to 42,147.84, 58,164 and 23,284.80 is: 32,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147.84 : 58,164 = 23,284.80 : x
  2. Step 2: Convert to fraction form
    42,147.84/58,164 = 23,284.80/x
  3. Step 3: Cross multiply
    42,147.84x = 58,164 × 23,284.80
  4. Step 4: Simplify right side
    42,147.84x = 1,354,337,107.20
  5. Step 5: Solve for x
    x = 1,354,337,107.20/42,147.84
  6. Step 6: Final answer
    x = 32,133.01

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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.