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Finding the Fourth Proportional to 45,772, 68,658.42 and 18,070

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Solution

The fourth proportional to 45,772, 68,658.42 and 18,070 is: 27,105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,772 : 68,658.42 = 18,070 : x
  2. Step 2: Convert to fraction form
    45,772/68,658.42 = 18,070/x
  3. Step 3: Cross multiply
    45,772x = 68,658.42 × 18,070
  4. Step 4: Simplify right side
    45,772x = 1,240,657,649.40
  5. Step 5: Solve for x
    x = 1,240,657,649.40/45,772
  6. Step 6: Final answer
    x = 27,105.17

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