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Finding the Fourth Proportional to 103,766.50, 155,649.84 and 37,210.78

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Solution

The fourth proportional to 103,766.50, 155,649.84 and 37,210.78 is: 55,816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,766.50 : 155,649.84 = 37,210.78 : x
  2. Step 2: Convert to fraction form
    103,766.50/155,649.84 = 37,210.78/x
  3. Step 3: Cross multiply
    103,766.50x = 155,649.84 × 37,210.78
  4. Step 4: Simplify right side
    103,766.50x = 5,791,851,953.28
  5. Step 5: Solve for x
    x = 5,791,851,953.28/103,766.50
  6. Step 6: Final answer
    x = 55,816.20

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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.