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Finding the Fourth Proportional to 83,009.96, 114,553.21 and 47,199.97

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Solution

The fourth proportional to 83,009.96, 114,553.21 and 47,199.97 is: 65,135.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.96 : 114,553.21 = 47,199.97 : x
  2. Step 2: Convert to fraction form
    83,009.96/114,553.21 = 47,199.97/x
  3. Step 3: Cross multiply
    83,009.96x = 114,553.21 × 47,199.97
  4. Step 4: Simplify right side
    83,009.96x = 5,406,908,075.40
  5. Step 5: Solve for x
    x = 5,406,908,075.40/83,009.96
  6. Step 6: Final answer
    x = 65,135.65

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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.