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Finding the Fourth Proportional to 100,275.36, 150,415.20 and 33,717.60

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Solution

The fourth proportional to 100,275.36, 150,415.20 and 33,717.60 is: 50,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,275.36 : 150,415.20 = 33,717.60 : x
  2. Step 2: Convert to fraction form
    100,275.36/150,415.20 = 33,717.60/x
  3. Step 3: Cross multiply
    100,275.36x = 150,415.20 × 33,717.60
  4. Step 4: Simplify right side
    100,275.36x = 5,071,639,547.52
  5. Step 5: Solve for x
    x = 5,071,639,547.52/100,275.36
  6. Step 6: Final answer
    x = 50,577.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.