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Finding the Fourth Proportional to 82,924.77, 114,436.22 and 47,114.83

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Solution

The fourth proportional to 82,924.77, 114,436.22 and 47,114.83 is: 65,018.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,924.77 : 114,436.22 = 47,114.83 : x
  2. Step 2: Convert to fraction form
    82,924.77/114,436.22 = 47,114.83/x
  3. Step 3: Cross multiply
    82,924.77x = 114,436.22 × 47,114.83
  4. Step 4: Simplify right side
    82,924.77x = 5,391,643,223.63
  5. Step 5: Solve for x
    x = 5,391,643,223.63/82,924.77
  6. Step 6: Final answer
    x = 65,018.49

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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.