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Finding the Fourth Proportional to 100,159.68, 150,214.92 and 33,598.32

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Solution

The fourth proportional to 100,159.68, 150,214.92 and 33,598.32 is: 50,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.68 : 150,214.92 = 33,598.32 : x
  2. Step 2: Convert to fraction form
    100,159.68/150,214.92 = 33,598.32/x
  3. Step 3: Cross multiply
    100,159.68x = 150,214.92 × 33,598.32
  4. Step 4: Simplify right side
    100,159.68x = 5,046,968,950.93
  5. Step 5: Solve for x
    x = 5,046,968,950.93/100,159.68
  6. Step 6: Final answer
    x = 50,389.23

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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.