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Finding the Fourth Proportional to 76,499.94, 105,620.74 and 47,862.74

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Solution

The fourth proportional to 76,499.94, 105,620.74 and 47,862.74 is: 66,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,499.94 : 105,620.74 = 47,862.74 : x
  2. Step 2: Convert to fraction form
    76,499.94/105,620.74 = 47,862.74/x
  3. Step 3: Cross multiply
    76,499.94x = 105,620.74 × 47,862.74
  4. Step 4: Simplify right side
    76,499.94x = 5,055,298,017.23
  5. Step 5: Solve for x
    x = 5,055,298,017.23/76,499.94
  6. Step 6: Final answer
    x = 66,082.38

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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.