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Finding the Fourth Proportional to 85,705.70, 128,641.47 and 41,363.66

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Solution

The fourth proportional to 85,705.70, 128,641.47 and 41,363.66 is: 62,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,705.70 : 128,641.47 = 41,363.66 : x
  2. Step 2: Convert to fraction form
    85,705.70/128,641.47 = 41,363.66/x
  3. Step 3: Cross multiply
    85,705.70x = 128,641.47 × 41,363.66
  4. Step 4: Simplify right side
    85,705.70x = 5,321,082,193.47
  5. Step 5: Solve for x
    x = 5,321,082,193.47/85,705.70
  6. Step 6: Final answer
    x = 62,085.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.