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Finding the Fourth Proportional to 96,487.48, 144,731.22 and 29,926

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Solution

The fourth proportional to 96,487.48, 144,731.22 and 29,926 is: 44,889.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,487.48 : 144,731.22 = 29,926 : x
  2. Step 2: Convert to fraction form
    96,487.48/144,731.22 = 29,926/x
  3. Step 3: Cross multiply
    96,487.48x = 144,731.22 × 29,926
  4. Step 4: Simplify right side
    96,487.48x = 4,331,226,489.72
  5. Step 5: Solve for x
    x = 4,331,226,489.72/96,487.48
  6. Step 6: Final answer
    x = 44,889.00

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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.