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Finding the Fourth Proportional to 52,153.86, 71,973.78 and 29,496.27

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Solution

The fourth proportional to 52,153.86, 71,973.78 and 29,496.27 is: 40,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,153.86 : 71,973.78 = 29,496.27 : x
  2. Step 2: Convert to fraction form
    52,153.86/71,973.78 = 29,496.27/x
  3. Step 3: Cross multiply
    52,153.86x = 71,973.78 × 29,496.27
  4. Step 4: Simplify right side
    52,153.86x = 2,122,958,047.80
  5. Step 5: Solve for x
    x = 2,122,958,047.80/52,153.86
  6. Step 6: Final answer
    x = 40,705.67

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1.5x scale

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.