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Finding the Fourth Proportional to 83,034, 114,638.76 and 53,277.84

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Solution

The fourth proportional to 83,034, 114,638.76 and 53,277.84 is: 73,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,034 : 114,638.76 = 53,277.84 : x
  2. Step 2: Convert to fraction form
    83,034/114,638.76 = 53,277.84/x
  3. Step 3: Cross multiply
    83,034x = 114,638.76 × 53,277.84
  4. Step 4: Simplify right side
    83,034x = 6,107,705,513.08
  5. Step 5: Solve for x
    x = 6,107,705,513.08/83,034
  6. Step 6: Final answer
    x = 73,556.68

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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.