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Finding the Fourth Proportional to 76,245.02, 105,218.14 and 42,711.02

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Solution

The fourth proportional to 76,245.02, 105,218.14 and 42,711.02 is: 58,941.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,245.02 : 105,218.14 = 42,711.02 : x
  2. Step 2: Convert to fraction form
    76,245.02/105,218.14 = 42,711.02/x
  3. Step 3: Cross multiply
    76,245.02x = 105,218.14 × 42,711.02
  4. Step 4: Simplify right side
    76,245.02x = 4,493,974,081.90
  5. Step 5: Solve for x
    x = 4,493,974,081.90/76,245.02
  6. Step 6: Final answer
    x = 58,941.21

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