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Finding the Fourth Proportional to 32,059.48, 48,114.02 and 20,963.16

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Solution

The fourth proportional to 32,059.48, 48,114.02 and 20,963.16 is: 31,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,059.48 : 48,114.02 = 20,963.16 : x
  2. Step 2: Convert to fraction form
    32,059.48/48,114.02 = 20,963.16/x
  3. Step 3: Cross multiply
    32,059.48x = 48,114.02 × 20,963.16
  4. Step 4: Simplify right side
    32,059.48x = 1,008,621,899.50
  5. Step 5: Solve for x
    x = 1,008,621,899.50/32,059.48
  6. Step 6: Final answer
    x = 31,460.96

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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.