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Finding the Fourth Proportional to 73,206.10, 109,809.15 and 17,802.10

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Solution

The fourth proportional to 73,206.10, 109,809.15 and 17,802.10 is: 26,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206.10 : 109,809.15 = 17,802.10 : x
  2. Step 2: Convert to fraction form
    73,206.10/109,809.15 = 17,802.10/x
  3. Step 3: Cross multiply
    73,206.10x = 109,809.15 × 17,802.10
  4. Step 4: Simplify right side
    73,206.10x = 1,954,833,469.22
  5. Step 5: Solve for x
    x = 1,954,833,469.22/73,206.10
  6. Step 6: Final answer
    x = 26,703.15

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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.