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Finding the Fourth Proportional to 70,434.46, 105,651.84 and 17,848.05

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Solution

The fourth proportional to 70,434.46, 105,651.84 and 17,848.05 is: 26,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,434.46 : 105,651.84 = 17,848.05 : x
  2. Step 2: Convert to fraction form
    70,434.46/105,651.84 = 17,848.05/x
  3. Step 3: Cross multiply
    70,434.46x = 105,651.84 × 17,848.05
  4. Step 4: Simplify right side
    70,434.46x = 1,885,678,993.65
  5. Step 5: Solve for x
    x = 1,885,678,993.65/70,434.46
  6. Step 6: Final answer
    x = 26,772.11

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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.