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Finding the Fourth Proportional to 96,533.76, 144,787.20 and 26,419.20

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Solution

The fourth proportional to 96,533.76, 144,787.20 and 26,419.20 is: 39,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,533.76 : 144,787.20 = 26,419.20 : x
  2. Step 2: Convert to fraction form
    96,533.76/144,787.20 = 26,419.20/x
  3. Step 3: Cross multiply
    96,533.76x = 144,787.20 × 26,419.20
  4. Step 4: Simplify right side
    96,533.76x = 3,825,161,994.24
  5. Step 5: Solve for x
    x = 3,825,161,994.24/96,533.76
  6. Step 6: Final answer
    x = 39,625.12

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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.