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Finding the Fourth Proportional to 96,803.46, 145,214.16 and 37,643.58

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Solution

The fourth proportional to 96,803.46, 145,214.16 and 37,643.58 is: 56,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,803.46 : 145,214.16 = 37,643.58 : x
  2. Step 2: Convert to fraction form
    96,803.46/145,214.16 = 37,643.58/x
  3. Step 3: Cross multiply
    96,803.46x = 145,214.16 × 37,643.58
  4. Step 4: Simplify right side
    96,803.46x = 5,466,380,849.09
  5. Step 5: Solve for x
    x = 5,466,380,849.09/96,803.46
  6. Step 6: Final answer
    x = 56,468.86

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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.