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Finding the Fourth Proportional to 76,114.99, 105,003.64 and 49,266.12

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Solution

The fourth proportional to 76,114.99, 105,003.64 and 49,266.12 is: 67,964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,114.99 : 105,003.64 = 49,266.12 : x
  2. Step 2: Convert to fraction form
    76,114.99/105,003.64 = 49,266.12/x
  3. Step 3: Cross multiply
    76,114.99x = 105,003.64 × 49,266.12
  4. Step 4: Simplify right side
    76,114.99x = 5,173,122,384.02
  5. Step 5: Solve for x
    x = 5,173,122,384.02/76,114.99
  6. Step 6: Final answer
    x = 67,964.57

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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.