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Finding the Fourth Proportional to 96,494.96, 144,746.50 and 26,374.08

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Solution

The fourth proportional to 96,494.96, 144,746.50 and 26,374.08 is: 39,562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,494.96 : 144,746.50 = 26,374.08 : x
  2. Step 2: Convert to fraction form
    96,494.96/144,746.50 = 26,374.08/x
  3. Step 3: Cross multiply
    96,494.96x = 144,746.50 × 26,374.08
  4. Step 4: Simplify right side
    96,494.96x = 3,817,555,770.72
  5. Step 5: Solve for x
    x = 3,817,555,770.72/96,494.96
  6. Step 6: Final answer
    x = 39,562.23

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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.