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Finding the Fourth Proportional to 71,045.72, 98,043.10 and 39,214.63

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Solution

The fourth proportional to 71,045.72, 98,043.10 and 39,214.63 is: 54,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,045.72 : 98,043.10 = 39,214.63 : x
  2. Step 2: Convert to fraction form
    71,045.72/98,043.10 = 39,214.63/x
  3. Step 3: Cross multiply
    71,045.72x = 98,043.10 × 39,214.63
  4. Step 4: Simplify right side
    71,045.72x = 3,844,723,473.87
  5. Step 5: Solve for x
    x = 3,844,723,473.87/71,045.72
  6. Step 6: Final answer
    x = 54,116.19

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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.