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Finding the Fourth Proportional to 70,423.56, 105,639.19 and 17,833.50

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Solution

The fourth proportional to 70,423.56, 105,639.19 and 17,833.50 is: 26,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,423.56 : 105,639.19 = 17,833.50 : x
  2. Step 2: Convert to fraction form
    70,423.56/105,639.19 = 17,833.50/x
  3. Step 3: Cross multiply
    70,423.56x = 105,639.19 × 17,833.50
  4. Step 4: Simplify right side
    70,423.56x = 1,883,916,450.28
  5. Step 5: Solve for x
    x = 1,883,916,450.28/70,423.56
  6. Step 6: Final answer
    x = 26,751.22

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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.