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Finding the Fourth Proportional to 83,832.51, 115,660.65 and 56,928.30

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Solution

The fourth proportional to 83,832.51, 115,660.65 and 56,928.30 is: 78,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,832.51 : 115,660.65 = 56,928.30 : x
  2. Step 2: Convert to fraction form
    83,832.51/115,660.65 = 56,928.30/x
  3. Step 3: Cross multiply
    83,832.51x = 115,660.65 × 56,928.30
  4. Step 4: Simplify right side
    83,832.51x = 6,584,364,181.40
  5. Step 5: Solve for x
    x = 6,584,364,181.40/83,832.51
  6. Step 6: Final answer
    x = 78,541.89

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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.