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Finding the Fourth Proportional to 83,503.00, 115,241.40 and 45,784.54

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Solution

The fourth proportional to 83,503.00, 115,241.40 and 45,784.54 is: 63,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,503.00 : 115,241.40 = 45,784.54 : x
  2. Step 2: Convert to fraction form
    83,503.00/115,241.40 = 45,784.54/x
  3. Step 3: Cross multiply
    83,503.00x = 115,241.40 × 45,784.54
  4. Step 4: Simplify right side
    83,503.00x = 5,276,274,632.01
  5. Step 5: Solve for x
    x = 5,276,274,632.01/83,503.00
  6. Step 6: Final answer
    x = 63,186.65

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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.