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Finding the Fourth Proportional to 88,263.13, 121,803.94 and 47,977

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Solution

The fourth proportional to 88,263.13, 121,803.94 and 47,977 is: 66,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,263.13 : 121,803.94 = 47,977 : x
  2. Step 2: Convert to fraction form
    88,263.13/121,803.94 = 47,977/x
  3. Step 3: Cross multiply
    88,263.13x = 121,803.94 × 47,977
  4. Step 4: Simplify right side
    88,263.13x = 5,843,787,629.38
  5. Step 5: Solve for x
    x = 5,843,787,629.38/88,263.13
  6. Step 6: Final answer
    x = 66,208.71

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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.