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Finding the Fourth Proportional to 47,220.57, 70,821.54 and 23,503.77

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Solution

The fourth proportional to 47,220.57, 70,821.54 and 23,503.77 is: 35,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,220.57 : 70,821.54 = 23,503.77 : x
  2. Step 2: Convert to fraction form
    47,220.57/70,821.54 = 23,503.77/x
  3. Step 3: Cross multiply
    47,220.57x = 70,821.54 × 23,503.77
  4. Step 4: Simplify right side
    47,220.57x = 1,664,573,187.21
  5. Step 5: Solve for x
    x = 1,664,573,187.21/47,220.57
  6. Step 6: Final answer
    x = 35,251.02

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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.