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Finding the Fourth Proportional to 85,223.25, 117,608.64 and 47,499.93

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Solution

The fourth proportional to 85,223.25, 117,608.64 and 47,499.93 is: 65,550.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,223.25 : 117,608.64 = 47,499.93 : x
  2. Step 2: Convert to fraction form
    85,223.25/117,608.64 = 47,499.93/x
  3. Step 3: Cross multiply
    85,223.25x = 117,608.64 × 47,499.93
  4. Step 4: Simplify right side
    85,223.25x = 5,586,402,167.40
  5. Step 5: Solve for x
    x = 5,586,402,167.40/85,223.25
  6. Step 6: Final answer
    x = 65,550.21

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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.