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Finding the Fourth Proportional to 70,316.82, 105,416.91 and 25,935.30

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Solution

The fourth proportional to 70,316.82, 105,416.91 and 25,935.30 is: 38,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,316.82 : 105,416.91 = 25,935.30 : x
  2. Step 2: Convert to fraction form
    70,316.82/105,416.91 = 25,935.30/x
  3. Step 3: Cross multiply
    70,316.82x = 105,416.91 × 25,935.30
  4. Step 4: Simplify right side
    70,316.82x = 2,734,019,185.92
  5. Step 5: Solve for x
    x = 2,734,019,185.92/70,316.82
  6. Step 6: Final answer
    x = 38,881.44

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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.