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Finding the Fourth Proportional to 47,804.53, 71,706.18 and 21,490.68

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Solution

The fourth proportional to 47,804.53, 71,706.18 and 21,490.68 is: 32,235.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,804.53 : 71,706.18 = 21,490.68 : x
  2. Step 2: Convert to fraction form
    47,804.53/71,706.18 = 21,490.68/x
  3. Step 3: Cross multiply
    47,804.53x = 71,706.18 × 21,490.68
  4. Step 4: Simplify right side
    47,804.53x = 1,541,014,568.40
  5. Step 5: Solve for x
    x = 1,541,014,568.40/47,804.53
  6. Step 6: Final answer
    x = 32,235.74

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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.