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Finding the Fourth Proportional to 96,953.29, 145,432.36 and 26,833.21

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Solution

The fourth proportional to 96,953.29, 145,432.36 and 26,833.21 is: 40,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,953.29 : 145,432.36 = 26,833.21 : x
  2. Step 2: Convert to fraction form
    96,953.29/145,432.36 = 26,833.21/x
  3. Step 3: Cross multiply
    96,953.29x = 145,432.36 × 26,833.21
  4. Step 4: Simplify right side
    96,953.29x = 3,902,417,056.68
  5. Step 5: Solve for x
    x = 3,902,417,056.68/96,953.29
  6. Step 6: Final answer
    x = 40,250.49

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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.