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Finding the Fourth Proportional to 71,046.15, 98,036.70 and 39,213

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Solution

The fourth proportional to 71,046.15, 98,036.70 and 39,213 is: 54,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,046.15 : 98,036.70 = 39,213 : x
  2. Step 2: Convert to fraction form
    71,046.15/98,036.70 = 39,213/x
  3. Step 3: Cross multiply
    71,046.15x = 98,036.70 × 39,213
  4. Step 4: Simplify right side
    71,046.15x = 3,844,313,117.10
  5. Step 5: Solve for x
    x = 3,844,313,117.10/71,046.15
  6. Step 6: Final answer
    x = 54,110.08

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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.