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Finding the Fourth Proportional to 75,284.56, 112,963.56 and 30,924.64

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Solution

The fourth proportional to 75,284.56, 112,963.56 and 30,924.64 is: 46,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,284.56 : 112,963.56 = 30,924.64 : x
  2. Step 2: Convert to fraction form
    75,284.56/112,963.56 = 30,924.64/x
  3. Step 3: Cross multiply
    75,284.56x = 112,963.56 × 30,924.64
  4. Step 4: Simplify right side
    75,284.56x = 3,493,357,426.12
  5. Step 5: Solve for x
    x = 3,493,357,426.12/75,284.56
  6. Step 6: Final answer
    x = 46,402.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.