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Finding the Fourth Proportional to 76,955.95, 106,200.87 and 42,500.58

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Solution

The fourth proportional to 76,955.95, 106,200.87 and 42,500.58 is: 58,651.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,955.95 : 106,200.87 = 42,500.58 : x
  2. Step 2: Convert to fraction form
    76,955.95/106,200.87 = 42,500.58/x
  3. Step 3: Cross multiply
    76,955.95x = 106,200.87 × 42,500.58
  4. Step 4: Simplify right side
    76,955.95x = 4,513,598,571.50
  5. Step 5: Solve for x
    x = 4,513,598,571.50/76,955.95
  6. Step 6: Final answer
    x = 58,651.72

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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.