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Finding the Fourth Proportional to 85,497.38, 117,984.32 and 46,733.46

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Solution

The fourth proportional to 85,497.38, 117,984.32 and 46,733.46 is: 64,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497.38 : 117,984.32 = 46,733.46 : x
  2. Step 2: Convert to fraction form
    85,497.38/117,984.32 = 46,733.46/x
  3. Step 3: Cross multiply
    85,497.38x = 117,984.32 × 46,733.46
  4. Step 4: Simplify right side
    85,497.38x = 5,513,814,998.49
  5. Step 5: Solve for x
    x = 5,513,814,998.49/85,497.38
  6. Step 6: Final answer
    x = 64,491.04

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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.