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Finding the Fourth Proportional to 85,786.38, 118,382.04 and 47,547.54

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Solution

The fourth proportional to 85,786.38, 118,382.04 and 47,547.54 is: 65,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,786.38 : 118,382.04 = 47,547.54 : x
  2. Step 2: Convert to fraction form
    85,786.38/118,382.04 = 47,547.54/x
  3. Step 3: Cross multiply
    85,786.38x = 118,382.04 × 47,547.54
  4. Step 4: Simplify right side
    85,786.38x = 5,628,774,782.18
  5. Step 5: Solve for x
    x = 5,628,774,782.18/85,786.38
  6. Step 6: Final answer
    x = 65,613.85

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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.