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Finding the Fourth Proportional to 83,221.60, 114,837.57 and 47,409.48

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Solution

The fourth proportional to 83,221.60, 114,837.57 and 47,409.48 is: 65,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.60 : 114,837.57 = 47,409.48 : x
  2. Step 2: Convert to fraction form
    83,221.60/114,837.57 = 47,409.48/x
  3. Step 3: Cross multiply
    83,221.60x = 114,837.57 × 47,409.48
  4. Step 4: Simplify right side
    83,221.60x = 5,444,389,478.16
  5. Step 5: Solve for x
    x = 5,444,389,478.16/83,221.60
  6. Step 6: Final answer
    x = 65,420.39

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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.