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Finding the Fourth Proportional to 83,055.88, 114,630.24 and 52,809.67

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Solution

The fourth proportional to 83,055.88, 114,630.24 and 52,809.67 is: 72,885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,055.88 : 114,630.24 = 52,809.67 : x
  2. Step 2: Convert to fraction form
    83,055.88/114,630.24 = 52,809.67/x
  3. Step 3: Cross multiply
    83,055.88x = 114,630.24 × 52,809.67
  4. Step 4: Simplify right side
    83,055.88x = 6,053,585,190.69
  5. Step 5: Solve for x
    x = 6,053,585,190.69/83,055.88
  6. Step 6: Final answer
    x = 72,885.69

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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.