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Finding the Fourth Proportional to 49,706.16, 74,419.30 and 37,284

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Solution

The fourth proportional to 49,706.16, 74,419.30 and 37,284 is: 55,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706.16 : 74,419.30 = 37,284 : x
  2. Step 2: Convert to fraction form
    49,706.16/74,419.30 = 37,284/x
  3. Step 3: Cross multiply
    49,706.16x = 74,419.30 × 37,284
  4. Step 4: Simplify right side
    49,706.16x = 2,774,649,181.20
  5. Step 5: Solve for x
    x = 2,774,649,181.20/49,706.16
  6. Step 6: Final answer
    x = 55,821.03

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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.