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Finding the Fourth Proportional to 83,009.83, 114,553.04 and 47,199.84

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Solution

The fourth proportional to 83,009.83, 114,553.04 and 47,199.84 is: 65,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009.83 : 114,553.04 = 47,199.84 : x
  2. Step 2: Convert to fraction form
    83,009.83/114,553.04 = 47,199.84/x
  3. Step 3: Cross multiply
    83,009.83x = 114,553.04 × 47,199.84
  4. Step 4: Simplify right side
    83,009.83x = 5,406,885,159.51
  5. Step 5: Solve for x
    x = 5,406,885,159.51/83,009.83
  6. Step 6: Final answer
    x = 65,135.48

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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.