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Finding the Fourth Proportional to 101,275.84, 151,934 and 31,152.48

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Solution

The fourth proportional to 101,275.84, 151,934 and 31,152.48 is: 46,734.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,275.84 : 151,934 = 31,152.48 : x
  2. Step 2: Convert to fraction form
    101,275.84/151,934 = 31,152.48/x
  3. Step 3: Cross multiply
    101,275.84x = 151,934 × 31,152.48
  4. Step 4: Simplify right side
    101,275.84x = 4,733,120,896.32
  5. Step 5: Solve for x
    x = 4,733,120,896.32/101,275.84
  6. Step 6: Final answer
    x = 46,734.95

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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.