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Finding the Fourth Proportional to 60,683.40, 91,010.50 and 31,086

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Solution

The fourth proportional to 60,683.40, 91,010.50 and 31,086 is: 46,621.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,683.40 : 91,010.50 = 31,086 : x
  2. Step 2: Convert to fraction form
    60,683.40/91,010.50 = 31,086/x
  3. Step 3: Cross multiply
    60,683.40x = 91,010.50 × 31,086
  4. Step 4: Simplify right side
    60,683.40x = 2,829,152,403
  5. Step 5: Solve for x
    x = 2,829,152,403/60,683.40
  6. Step 6: Final answer
    x = 46,621.52

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Why These Related Problems?

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