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Finding the Fourth Proportional to 32,488.25, 44,833.92 and 17,584.25

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Solution

The fourth proportional to 32,488.25, 44,833.92 and 17,584.25 is: 24,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,488.25 : 44,833.92 = 17,584.25 : x
  2. Step 2: Convert to fraction form
    32,488.25/44,833.92 = 17,584.25/x
  3. Step 3: Cross multiply
    32,488.25x = 44,833.92 × 17,584.25
  4. Step 4: Simplify right side
    32,488.25x = 788,370,857.76
  5. Step 5: Solve for x
    x = 788,370,857.76/32,488.25
  6. Step 6: Final answer
    x = 24,266.34

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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.