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Finding the Fourth Proportional to 70,142.40, 105,214.01 and 23,395.14

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Solution

The fourth proportional to 70,142.40, 105,214.01 and 23,395.14 is: 35,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,142.40 : 105,214.01 = 23,395.14 : x
  2. Step 2: Convert to fraction form
    70,142.40/105,214.01 = 23,395.14/x
  3. Step 3: Cross multiply
    70,142.40x = 105,214.01 × 23,395.14
  4. Step 4: Simplify right side
    70,142.40x = 2,461,496,376.94
  5. Step 5: Solve for x
    x = 2,461,496,376.94/70,142.40
  6. Step 6: Final answer
    x = 35,092.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.