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Finding the Fourth Proportional to 70,399.81, 105,577.84 and 23,641.75

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Solution

The fourth proportional to 70,399.81, 105,577.84 and 23,641.75 is: 35,455.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,399.81 : 105,577.84 = 23,641.75 : x
  2. Step 2: Convert to fraction form
    70,399.81/105,577.84 = 23,641.75/x
  3. Step 3: Cross multiply
    70,399.81x = 105,577.84 × 23,641.75
  4. Step 4: Simplify right side
    70,399.81x = 2,496,044,898.82
  5. Step 5: Solve for x
    x = 2,496,044,898.82/70,399.81
  6. Step 6: Final answer
    x = 35,455.28

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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.