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Finding the Fourth Proportional to 84,231.83, 116,101.50 and 59,711

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Solution

The fourth proportional to 84,231.83, 116,101.50 and 59,711 is: 82,303.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,231.83 : 116,101.50 = 59,711 : x
  2. Step 2: Convert to fraction form
    84,231.83/116,101.50 = 59,711/x
  3. Step 3: Cross multiply
    84,231.83x = 116,101.50 × 59,711
  4. Step 4: Simplify right side
    84,231.83x = 6,932,536,666.50
  5. Step 5: Solve for x
    x = 6,932,536,666.50/84,231.83
  6. Step 6: Final answer
    x = 82,303.05

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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.