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Finding the Fourth Proportional to 84,437.56, 116,519.34 and 46,711

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Solution

The fourth proportional to 84,437.56, 116,519.34 and 46,711 is: 64,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,437.56 : 116,519.34 = 46,711 : x
  2. Step 2: Convert to fraction form
    84,437.56/116,519.34 = 46,711/x
  3. Step 3: Cross multiply
    84,437.56x = 116,519.34 × 46,711
  4. Step 4: Simplify right side
    84,437.56x = 5,442,734,890.74
  5. Step 5: Solve for x
    x = 5,442,734,890.74/84,437.56
  6. Step 6: Final answer
    x = 64,458.69

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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.