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Finding the Fourth Proportional to 32,038.52, 44,201.43 and 20,097.50

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Solution

The fourth proportional to 32,038.52, 44,201.43 and 20,097.50 is: 27,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,038.52 : 44,201.43 = 20,097.50 : x
  2. Step 2: Convert to fraction form
    32,038.52/44,201.43 = 20,097.50/x
  3. Step 3: Cross multiply
    32,038.52x = 44,201.43 × 20,097.50
  4. Step 4: Simplify right side
    32,038.52x = 888,338,239.43
  5. Step 5: Solve for x
    x = 888,338,239.43/32,038.52
  6. Step 6: Final answer
    x = 27,727.19

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1.5x scale

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.