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Finding the Fourth Proportional to 86,727, 119,683.98 and 46,983

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Solution

The fourth proportional to 86,727, 119,683.98 and 46,983 is: 64,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,727 : 119,683.98 = 46,983 : x
  2. Step 2: Convert to fraction form
    86,727/119,683.98 = 46,983/x
  3. Step 3: Cross multiply
    86,727x = 119,683.98 × 46,983
  4. Step 4: Simplify right side
    86,727x = 5,623,112,432.34
  5. Step 5: Solve for x
    x = 5,623,112,432.34/86,727
  6. Step 6: Final answer
    x = 64,836.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.