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Finding the Fourth Proportional to 32,505.44, 48,706.98 and 25,127.96

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Solution

The fourth proportional to 32,505.44, 48,706.98 and 25,127.96 is: 37,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,505.44 : 48,706.98 = 25,127.96 : x
  2. Step 2: Convert to fraction form
    32,505.44/48,706.98 = 25,127.96/x
  3. Step 3: Cross multiply
    32,505.44x = 48,706.98 × 25,127.96
  4. Step 4: Simplify right side
    32,505.44x = 1,223,907,045.16
  5. Step 5: Solve for x
    x = 1,223,907,045.16/32,505.44
  6. Step 6: Final answer
    x = 37,652.38

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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.