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Finding the Fourth Proportional to 85,874.94, 118,509.75 and 48,148.38

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Solution

The fourth proportional to 85,874.94, 118,509.75 and 48,148.38 is: 66,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,874.94 : 118,509.75 = 48,148.38 : x
  2. Step 2: Convert to fraction form
    85,874.94/118,509.75 = 48,148.38/x
  3. Step 3: Cross multiply
    85,874.94x = 118,509.75 × 48,148.38
  4. Step 4: Simplify right side
    85,874.94x = 5,706,052,476.71
  5. Step 5: Solve for x
    x = 5,706,052,476.71/85,874.94
  6. Step 6: Final answer
    x = 66,446.07

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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.