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Finding the Fourth Proportional to 32,121.31, 44,319 and 18,506.02

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Solution

The fourth proportional to 32,121.31, 44,319 and 18,506.02 is: 25,533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,121.31 : 44,319 = 18,506.02 : x
  2. Step 2: Convert to fraction form
    32,121.31/44,319 = 18,506.02/x
  3. Step 3: Cross multiply
    32,121.31x = 44,319 × 18,506.02
  4. Step 4: Simplify right side
    32,121.31x = 820,168,300.38
  5. Step 5: Solve for x
    x = 820,168,300.38/32,121.31
  6. Step 6: Final answer
    x = 25,533.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.