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Finding the Fourth Proportional to 85,116.75, 117,464.76 and 47,391

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Solution

The fourth proportional to 85,116.75, 117,464.76 and 47,391 is: 65,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,116.75 : 117,464.76 = 47,391 : x
  2. Step 2: Convert to fraction form
    85,116.75/117,464.76 = 47,391/x
  3. Step 3: Cross multiply
    85,116.75x = 117,464.76 × 47,391
  4. Step 4: Simplify right side
    85,116.75x = 5,566,772,441.16
  5. Step 5: Solve for x
    x = 5,566,772,441.16/85,116.75
  6. Step 6: Final answer
    x = 65,401.61

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1.5x scale

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.