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Finding the Fourth Proportional to 32,988, 45,512.64 and 18,645.60

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Solution

The fourth proportional to 32,988, 45,512.64 and 18,645.60 is: 25,724.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 45,512.64 = 18,645.60 : x
  2. Step 2: Convert to fraction form
    32,988/45,512.64 = 18,645.60/x
  3. Step 3: Cross multiply
    32,988x = 45,512.64 × 18,645.60
  4. Step 4: Simplify right side
    32,988x = 848,610,480.38
  5. Step 5: Solve for x
    x = 848,610,480.38/32,988
  6. Step 6: Final answer
    x = 25,724.82

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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.