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Finding the Fourth Proportional to 96,303.84, 144,512.88 and 43,712.56

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Solution

The fourth proportional to 96,303.84, 144,512.88 and 43,712.56 is: 65,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,303.84 : 144,512.88 = 43,712.56 : x
  2. Step 2: Convert to fraction form
    96,303.84/144,512.88 = 43,712.56/x
  3. Step 3: Cross multiply
    96,303.84x = 144,512.88 × 43,712.56
  4. Step 4: Simplify right side
    96,303.84x = 6,317,027,937.77
  5. Step 5: Solve for x
    x = 6,317,027,937.77/96,303.84
  6. Step 6: Final answer
    x = 65,594.77

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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.