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Finding the Fourth Proportional to 72,048.34, 108,088.26 and 22,132

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Solution

The fourth proportional to 72,048.34, 108,088.26 and 22,132 is: 33,202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,048.34 : 108,088.26 = 22,132 : x
  2. Step 2: Convert to fraction form
    72,048.34/108,088.26 = 22,132/x
  3. Step 3: Cross multiply
    72,048.34x = 108,088.26 × 22,132
  4. Step 4: Simplify right side
    72,048.34x = 2,392,209,370.32
  5. Step 5: Solve for x
    x = 2,392,209,370.32/72,048.34
  6. Step 6: Final answer
    x = 33,202.84

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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.