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Finding the Fourth Proportional to 70,783.13, 106,193.08 and 26,410.22

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Solution

The fourth proportional to 70,783.13, 106,193.08 and 26,410.22 is: 39,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.13 : 106,193.08 = 26,410.22 : x
  2. Step 2: Convert to fraction form
    70,783.13/106,193.08 = 26,410.22/x
  3. Step 3: Cross multiply
    70,783.13x = 106,193.08 × 26,410.22
  4. Step 4: Simplify right side
    70,783.13x = 2,804,582,356.99
  5. Step 5: Solve for x
    x = 2,804,582,356.99/70,783.13
  6. Step 6: Final answer
    x = 39,622.18

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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.