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Finding the Fourth Proportional to 70,997.16, 106,473.80 and 23,602.16

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Solution

The fourth proportional to 70,997.16, 106,473.80 and 23,602.16 is: 35,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,997.16 : 106,473.80 = 23,602.16 : x
  2. Step 2: Convert to fraction form
    70,997.16/106,473.80 = 23,602.16/x
  3. Step 3: Cross multiply
    70,997.16x = 106,473.80 × 23,602.16
  4. Step 4: Simplify right side
    70,997.16x = 2,513,011,663.41
  5. Step 5: Solve for x
    x = 2,513,011,663.41/70,997.16
  6. Step 6: Final answer
    x = 35,395.95

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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.