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Finding the Fourth Proportional to 82,999.67, 114,531.59 and 47,187.68

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Solution

The fourth proportional to 82,999.67, 114,531.59 and 47,187.68 is: 65,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,999.67 : 114,531.59 = 47,187.68 : x
  2. Step 2: Convert to fraction form
    82,999.67/114,531.59 = 47,187.68/x
  3. Step 3: Cross multiply
    82,999.67x = 114,531.59 × 47,187.68
  4. Step 4: Simplify right side
    82,999.67x = 5,404,479,782.87
  5. Step 5: Solve for x
    x = 5,404,479,782.87/82,999.67
  6. Step 6: Final answer
    x = 65,114.47

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1.5x scale

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.