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Finding the Fourth Proportional to 70,439.86, 105,637.50 and 23,044

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Solution

The fourth proportional to 70,439.86, 105,637.50 and 23,044 is: 34,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,439.86 : 105,637.50 = 23,044 : x
  2. Step 2: Convert to fraction form
    70,439.86/105,637.50 = 23,044/x
  3. Step 3: Cross multiply
    70,439.86x = 105,637.50 × 23,044
  4. Step 4: Simplify right side
    70,439.86x = 2,434,310,550
  5. Step 5: Solve for x
    x = 2,434,310,550/70,439.86
  6. Step 6: Final answer
    x = 34,558.71

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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.