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Finding the Fourth Proportional to 83,218.83, 114,813.93 and 47,383.48

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Solution

The fourth proportional to 83,218.83, 114,813.93 and 47,383.48 is: 65,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,218.83 : 114,813.93 = 47,383.48 : x
  2. Step 2: Convert to fraction form
    83,218.83/114,813.93 = 47,383.48/x
  3. Step 3: Cross multiply
    83,218.83x = 114,813.93 × 47,383.48
  4. Step 4: Simplify right side
    83,218.83x = 5,440,283,555.88
  5. Step 5: Solve for x
    x = 5,440,283,555.88/83,218.83
  6. Step 6: Final answer
    x = 65,373.23

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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.