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Finding the Fourth Proportional to 70,451.24, 105,688.74 and 23,693

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Solution

The fourth proportional to 70,451.24, 105,688.74 and 23,693 is: 35,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,451.24 : 105,688.74 = 23,693 : x
  2. Step 2: Convert to fraction form
    70,451.24/105,688.74 = 23,693/x
  3. Step 3: Cross multiply
    70,451.24x = 105,688.74 × 23,693
  4. Step 4: Simplify right side
    70,451.24x = 2,504,083,316.82
  5. Step 5: Solve for x
    x = 2,504,083,316.82/70,451.24
  6. Step 6: Final answer
    x = 35,543.50

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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.