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Finding the Fourth Proportional to 83,666.44, 115,480.74 and 56,446.84

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Solution

The fourth proportional to 83,666.44, 115,480.74 and 56,446.84 is: 77,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666.44 : 115,480.74 = 56,446.84 : x
  2. Step 2: Convert to fraction form
    83,666.44/115,480.74 = 56,446.84/x
  3. Step 3: Cross multiply
    83,666.44x = 115,480.74 × 56,446.84
  4. Step 4: Simplify right side
    83,666.44x = 6,518,522,853.86
  5. Step 5: Solve for x
    x = 6,518,522,853.86/83,666.44
  6. Step 6: Final answer
    x = 77,910.84

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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.