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Finding the Fourth Proportional to 76,210, 105,168.38 and 42,217.74

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Solution

The fourth proportional to 76,210, 105,168.38 and 42,217.74 is: 58,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,210 : 105,168.38 = 42,217.74 : x
  2. Step 2: Convert to fraction form
    76,210/105,168.38 = 42,217.74/x
  3. Step 3: Cross multiply
    76,210x = 105,168.38 × 42,217.74
  4. Step 4: Simplify right side
    76,210x = 4,439,970,902.76
  5. Step 5: Solve for x
    x = 4,439,970,902.76/76,210
  6. Step 6: Final answer
    x = 58,259.69

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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.