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Finding the Fourth Proportional to 100,301.76, 150,347.52 and 47,648.16

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Solution

The fourth proportional to 100,301.76, 150,347.52 and 47,648.16 is: 71,422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,301.76 : 150,347.52 = 47,648.16 : x
  2. Step 2: Convert to fraction form
    100,301.76/150,347.52 = 47,648.16/x
  3. Step 3: Cross multiply
    100,301.76x = 150,347.52 × 47,648.16
  4. Step 4: Simplify right side
    100,301.76x = 7,163,782,688.56
  5. Step 5: Solve for x
    x = 7,163,782,688.56/100,301.76
  6. Step 6: Final answer
    x = 71,422.30

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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.