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Finding the Fourth Proportional to 73,116, 109,674.60 and 17,712

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Solution

The fourth proportional to 73,116, 109,674.60 and 17,712 is: 26,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,116 : 109,674.60 = 17,712 : x
  2. Step 2: Convert to fraction form
    73,116/109,674.60 = 17,712/x
  3. Step 3: Cross multiply
    73,116x = 109,674.60 × 17,712
  4. Step 4: Simplify right side
    73,116x = 1,942,556,515.20
  5. Step 5: Solve for x
    x = 1,942,556,515.20/73,116
  6. Step 6: Final answer
    x = 26,568.15

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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.