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Finding the Fourth Proportional to 32,084.64, 44,275.54 and 17,743.54

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Solution

The fourth proportional to 32,084.64, 44,275.54 and 17,743.54 is: 24,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.64 : 44,275.54 = 17,743.54 : x
  2. Step 2: Convert to fraction form
    32,084.64/44,275.54 = 17,743.54/x
  3. Step 3: Cross multiply
    32,084.64x = 44,275.54 × 17,743.54
  4. Step 4: Simplify right side
    32,084.64x = 785,604,815.01
  5. Step 5: Solve for x
    x = 785,604,815.01/32,084.64
  6. Step 6: Final answer
    x = 24,485.39

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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.