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Finding the Fourth Proportional to 86,458.48, 119,305.56 and 48,742

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Solution

The fourth proportional to 86,458.48, 119,305.56 and 48,742 is: 67,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,458.48 : 119,305.56 = 48,742 : x
  2. Step 2: Convert to fraction form
    86,458.48/119,305.56 = 48,742/x
  3. Step 3: Cross multiply
    86,458.48x = 119,305.56 × 48,742
  4. Step 4: Simplify right side
    86,458.48x = 5,815,191,605.52
  5. Step 5: Solve for x
    x = 5,815,191,605.52/86,458.48
  6. Step 6: Final answer
    x = 67,259.93

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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.