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Finding the Fourth Proportional to 67,006.35, 100,416.47 and 29,510.23

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Solution

The fourth proportional to 67,006.35, 100,416.47 and 29,510.23 is: 44,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,006.35 : 100,416.47 = 29,510.23 : x
  2. Step 2: Convert to fraction form
    67,006.35/100,416.47 = 29,510.23/x
  3. Step 3: Cross multiply
    67,006.35x = 100,416.47 × 29,510.23
  4. Step 4: Simplify right side
    67,006.35x = 2,963,313,125.49
  5. Step 5: Solve for x
    x = 2,963,313,125.49/67,006.35
  6. Step 6: Final answer
    x = 44,224.36

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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.