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Finding the Fourth Proportional to 32,964.38, 45,490.92 and 17,856.98

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Solution

The fourth proportional to 32,964.38, 45,490.92 and 17,856.98 is: 24,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.38 : 45,490.92 = 17,856.98 : x
  2. Step 2: Convert to fraction form
    32,964.38/45,490.92 = 17,856.98/x
  3. Step 3: Cross multiply
    32,964.38x = 45,490.92 × 17,856.98
  4. Step 4: Simplify right side
    32,964.38x = 812,330,448.62
  5. Step 5: Solve for x
    x = 812,330,448.62/32,964.38
  6. Step 6: Final answer
    x = 24,642.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.