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Finding the Fourth Proportional to 96,480.51, 144,734.78 and 29,926

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Solution

The fourth proportional to 96,480.51, 144,734.78 and 29,926 is: 44,893.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,480.51 : 144,734.78 = 29,926 : x
  2. Step 2: Convert to fraction form
    96,480.51/144,734.78 = 29,926/x
  3. Step 3: Cross multiply
    96,480.51x = 144,734.78 × 29,926
  4. Step 4: Simplify right side
    96,480.51x = 4,331,333,026.28
  5. Step 5: Solve for x
    x = 4,331,333,026.28/96,480.51
  6. Step 6: Final answer
    x = 44,893.35

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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.