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Finding the Fourth Proportional to 70,339.23, 105,505.11 and 17,749.17

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Solution

The fourth proportional to 70,339.23, 105,505.11 and 17,749.17 is: 26,622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,339.23 : 105,505.11 = 17,749.17 : x
  2. Step 2: Convert to fraction form
    70,339.23/105,505.11 = 17,749.17/x
  3. Step 3: Cross multiply
    70,339.23x = 105,505.11 × 17,749.17
  4. Step 4: Simplify right side
    70,339.23x = 1,872,628,133.26
  5. Step 5: Solve for x
    x = 1,872,628,133.26/70,339.23
  6. Step 6: Final answer
    x = 26,622.81

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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.