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Finding the Fourth Proportional to 84,382.76, 116,421.90 and 56,093.24

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Solution

The fourth proportional to 84,382.76, 116,421.90 and 56,093.24 is: 77,391.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,382.76 : 116,421.90 = 56,093.24 : x
  2. Step 2: Convert to fraction form
    84,382.76/116,421.90 = 56,093.24/x
  3. Step 3: Cross multiply
    84,382.76x = 116,421.90 × 56,093.24
  4. Step 4: Simplify right side
    84,382.76x = 6,530,481,577.96
  5. Step 5: Solve for x
    x = 6,530,481,577.96/84,382.76
  6. Step 6: Final answer
    x = 77,391.18

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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.