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Finding the Fourth Proportional to 100,364.66, 150,547.24 and 33,851.50

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Solution

The fourth proportional to 100,364.66, 150,547.24 and 33,851.50 is: 50,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,364.66 : 150,547.24 = 33,851.50 : x
  2. Step 2: Convert to fraction form
    100,364.66/150,547.24 = 33,851.50/x
  3. Step 3: Cross multiply
    100,364.66x = 150,547.24 × 33,851.50
  4. Step 4: Simplify right side
    100,364.66x = 5,096,249,894.86
  5. Step 5: Solve for x
    x = 5,096,249,894.86/100,364.66
  6. Step 6: Final answer
    x = 50,777.33

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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.