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Finding the Fourth Proportional to 69,750.30, 96,254.28 and 37,920

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Solution

The fourth proportional to 69,750.30, 96,254.28 and 37,920 is: 52,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,750.30 : 96,254.28 = 37,920 : x
  2. Step 2: Convert to fraction form
    69,750.30/96,254.28 = 37,920/x
  3. Step 3: Cross multiply
    69,750.30x = 96,254.28 × 37,920
  4. Step 4: Simplify right side
    69,750.30x = 3,649,962,297.60
  5. Step 5: Solve for x
    x = 3,649,962,297.60/69,750.30
  6. Step 6: Final answer
    x = 52,328.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.