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Finding the Fourth Proportional to 76,373.40, 105,415.38 and 42,850.20

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Solution

The fourth proportional to 76,373.40, 105,415.38 and 42,850.20 is: 59,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,373.40 : 105,415.38 = 42,850.20 : x
  2. Step 2: Convert to fraction form
    76,373.40/105,415.38 = 42,850.20/x
  3. Step 3: Cross multiply
    76,373.40x = 105,415.38 × 42,850.20
  4. Step 4: Simplify right side
    76,373.40x = 4,517,070,116.08
  5. Step 5: Solve for x
    x = 4,517,070,116.08/76,373.40
  6. Step 6: Final answer
    x = 59,144.55

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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.