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Finding the Fourth Proportional to 101,964.46, 152,946.69 and 39,649.54

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Solution

The fourth proportional to 101,964.46, 152,946.69 and 39,649.54 is: 59,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,964.46 : 152,946.69 = 39,649.54 : x
  2. Step 2: Convert to fraction form
    101,964.46/152,946.69 = 39,649.54/x
  3. Step 3: Cross multiply
    101,964.46x = 152,946.69 × 39,649.54
  4. Step 4: Simplify right side
    101,964.46x = 6,064,265,903.02
  5. Step 5: Solve for x
    x = 6,064,265,903.02/101,964.46
  6. Step 6: Final answer
    x = 59,474.31

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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.