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Finding the Fourth Proportional to 85,326, 117,749.88 and 47,600.24

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Solution

The fourth proportional to 85,326, 117,749.88 and 47,600.24 is: 65,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,326 : 117,749.88 = 47,600.24 : x
  2. Step 2: Convert to fraction form
    85,326/117,749.88 = 47,600.24/x
  3. Step 3: Cross multiply
    85,326x = 117,749.88 × 47,600.24
  4. Step 4: Simplify right side
    85,326x = 5,604,922,547.97
  5. Step 5: Solve for x
    x = 5,604,922,547.97/85,326
  6. Step 6: Final answer
    x = 65,688.33

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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.