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Finding the Fourth Proportional to 76,204.66, 105,163.14 and 45,984.16

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Solution

The fourth proportional to 76,204.66, 105,163.14 and 45,984.16 is: 63,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,204.66 : 105,163.14 = 45,984.16 : x
  2. Step 2: Convert to fraction form
    76,204.66/105,163.14 = 45,984.16/x
  3. Step 3: Cross multiply
    76,204.66x = 105,163.14 × 45,984.16
  4. Step 4: Simplify right side
    76,204.66x = 4,835,838,655.86
  5. Step 5: Solve for x
    x = 4,835,838,655.86/76,204.66
  6. Step 6: Final answer
    x = 63,458.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.