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Finding the Fourth Proportional to 70,013.24, 105,033.29 and 38,406

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Solution

The fourth proportional to 70,013.24, 105,033.29 and 38,406 is: 57,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,013.24 : 105,033.29 = 38,406 : x
  2. Step 2: Convert to fraction form
    70,013.24/105,033.29 = 38,406/x
  3. Step 3: Cross multiply
    70,013.24x = 105,033.29 × 38,406
  4. Step 4: Simplify right side
    70,013.24x = 4,033,908,343.71
  5. Step 5: Solve for x
    x = 4,033,908,343.71/70,013.24
  6. Step 6: Final answer
    x = 57,616.37

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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.