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Finding the Fourth Proportional to 96,497.82, 144,742.02 and 26,377.26

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Solution

The fourth proportional to 96,497.82, 144,742.02 and 26,377.26 is: 39,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,497.82 : 144,742.02 = 26,377.26 : x
  2. Step 2: Convert to fraction form
    96,497.82/144,742.02 = 26,377.26/x
  3. Step 3: Cross multiply
    96,497.82x = 144,742.02 × 26,377.26
  4. Step 4: Simplify right side
    96,497.82x = 3,817,897,894.47
  5. Step 5: Solve for x
    x = 3,817,897,894.47/96,497.82
  6. Step 6: Final answer
    x = 39,564.60

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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.