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Finding the Fourth Proportional to 28,071.46, 42,098.06 and 9,346.46

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Solution

The fourth proportional to 28,071.46, 42,098.06 and 9,346.46 is: 14,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,071.46 : 42,098.06 = 9,346.46 : x
  2. Step 2: Convert to fraction form
    28,071.46/42,098.06 = 9,346.46/x
  3. Step 3: Cross multiply
    28,071.46x = 42,098.06 × 9,346.46
  4. Step 4: Simplify right side
    28,071.46x = 393,467,833.87
  5. Step 5: Solve for x
    x = 393,467,833.87/28,071.46
  6. Step 6: Final answer
    x = 14,016.65

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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.