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Finding the Fourth Proportional to 71,005.48, 98,027.46 and 47,164.68

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Solution

The fourth proportional to 71,005.48, 98,027.46 and 47,164.68 is: 65,113.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,005.48 : 98,027.46 = 47,164.68 : x
  2. Step 2: Convert to fraction form
    71,005.48/98,027.46 = 47,164.68/x
  3. Step 3: Cross multiply
    71,005.48x = 98,027.46 × 47,164.68
  4. Step 4: Simplify right side
    71,005.48x = 4,623,433,782.11
  5. Step 5: Solve for x
    x = 4,623,433,782.11/71,005.48
  6. Step 6: Final answer
    x = 65,113.76

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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.