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Finding the Fourth Proportional to 75,685.82, 113,528.72 and 31,263.74

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Solution

The fourth proportional to 75,685.82, 113,528.72 and 31,263.74 is: 46,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685.82 : 113,528.72 = 31,263.74 : x
  2. Step 2: Convert to fraction form
    75,685.82/113,528.72 = 31,263.74/x
  3. Step 3: Cross multiply
    75,685.82x = 113,528.72 × 31,263.74
  4. Step 4: Simplify right side
    75,685.82x = 3,549,331,660.65
  5. Step 5: Solve for x
    x = 3,549,331,660.65/75,685.82
  6. Step 6: Final answer
    x = 46,895.60

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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.