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Finding the Fourth Proportional to 101,091, 151,630.26 and 30,964.92

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Solution

The fourth proportional to 101,091, 151,630.26 and 30,964.92 is: 46,445.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,091 : 151,630.26 = 30,964.92 : x
  2. Step 2: Convert to fraction form
    101,091/151,630.26 = 30,964.92/x
  3. Step 3: Cross multiply
    101,091x = 151,630.26 × 30,964.92
  4. Step 4: Simplify right side
    101,091x = 4,695,218,870.48
  5. Step 5: Solve for x
    x = 4,695,218,870.48/101,091
  6. Step 6: Final answer
    x = 46,445.47

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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.