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Finding the Fourth Proportional to 32,587.80, 48,795.30 and 25,675.80

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Solution

The fourth proportional to 32,587.80, 48,795.30 and 25,675.80 is: 38,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,587.80 : 48,795.30 = 25,675.80 : x
  2. Step 2: Convert to fraction form
    32,587.80/48,795.30 = 25,675.80/x
  3. Step 3: Cross multiply
    32,587.80x = 48,795.30 × 25,675.80
  4. Step 4: Simplify right side
    32,587.80x = 1,252,858,363.74
  5. Step 5: Solve for x
    x = 1,252,858,363.74/32,587.80
  6. Step 6: Final answer
    x = 38,445.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.