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Finding the Fourth Proportional to 49,706.66, 74,420.06 and 37,284.50

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Solution

The fourth proportional to 49,706.66, 74,420.06 and 37,284.50 is: 55,821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,706.66 : 74,420.06 = 37,284.50 : x
  2. Step 2: Convert to fraction form
    49,706.66/74,420.06 = 37,284.50/x
  3. Step 3: Cross multiply
    49,706.66x = 74,420.06 × 37,284.50
  4. Step 4: Simplify right side
    49,706.66x = 2,774,714,168.55
  5. Step 5: Solve for x
    x = 2,774,714,168.55/49,706.66
  6. Step 6: Final answer
    x = 55,821.78

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Why These Related Problems?

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