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Finding the Fourth Proportional to 32,967.34, 49,270.01 and 24,101.33

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Solution

The fourth proportional to 32,967.34, 49,270.01 and 24,101.33 is: 36,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.34 : 49,270.01 = 24,101.33 : x
  2. Step 2: Convert to fraction form
    32,967.34/49,270.01 = 24,101.33/x
  3. Step 3: Cross multiply
    32,967.34x = 49,270.01 × 24,101.33
  4. Step 4: Simplify right side
    32,967.34x = 1,187,472,649.61
  5. Step 5: Solve for x
    x = 1,187,472,649.61/32,967.34
  6. Step 6: Final answer
    x = 36,019.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.