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Finding the Fourth Proportional to 32,172.54, 48,264.88 and 12,188.01

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Solution

The fourth proportional to 32,172.54, 48,264.88 and 12,188.01 is: 18,284.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.54 : 48,264.88 = 12,188.01 : x
  2. Step 2: Convert to fraction form
    32,172.54/48,264.88 = 12,188.01/x
  3. Step 3: Cross multiply
    32,172.54x = 48,264.88 × 12,188.01
  4. Step 4: Simplify right side
    32,172.54x = 588,252,840.09
  5. Step 5: Solve for x
    x = 588,252,840.09/32,172.54
  6. Step 6: Final answer
    x = 18,284.31

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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.