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Finding the Fourth Proportional to 70,688.76, 105,993.09 and 23,291.16

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Solution

The fourth proportional to 70,688.76, 105,993.09 and 23,291.16 is: 34,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,688.76 : 105,993.09 = 23,291.16 : x
  2. Step 2: Convert to fraction form
    70,688.76/105,993.09 = 23,291.16/x
  3. Step 3: Cross multiply
    70,688.76x = 105,993.09 × 23,291.16
  4. Step 4: Simplify right side
    70,688.76x = 2,468,702,018.08
  5. Step 5: Solve for x
    x = 2,468,702,018.08/70,688.76
  6. Step 6: Final answer
    x = 34,923.54

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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.