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Finding the Fourth Proportional to 70,234.17, 105,329.29 and 23,476.11

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Solution

The fourth proportional to 70,234.17, 105,329.29 and 23,476.11 is: 35,206.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,234.17 : 105,329.29 = 23,476.11 : x
  2. Step 2: Convert to fraction form
    70,234.17/105,329.29 = 23,476.11/x
  3. Step 3: Cross multiply
    70,234.17x = 105,329.29 × 23,476.11
  4. Step 4: Simplify right side
    70,234.17x = 2,472,721,998.26
  5. Step 5: Solve for x
    x = 2,472,721,998.26/70,234.17
  6. Step 6: Final answer
    x = 35,206.82

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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.