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Finding the Fourth Proportional to 67,411, 101,116.14 and 17,491.06

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Solution

The fourth proportional to 67,411, 101,116.14 and 17,491.06 is: 26,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,411 : 101,116.14 = 17,491.06 : x
  2. Step 2: Convert to fraction form
    67,411/101,116.14 = 17,491.06/x
  3. Step 3: Cross multiply
    67,411x = 101,116.14 × 17,491.06
  4. Step 4: Simplify right side
    67,411x = 1,768,628,471.71
  5. Step 5: Solve for x
    x = 1,768,628,471.71/67,411
  6. Step 6: Final answer
    x = 26,236.50

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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.