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Finding the Fourth Proportional to 32,587.24, 48,868.70 and 12,859.24

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Solution

The fourth proportional to 32,587.24, 48,868.70 and 12,859.24 is: 19,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,587.24 : 48,868.70 = 12,859.24 : x
  2. Step 2: Convert to fraction form
    32,587.24/48,868.70 = 12,859.24/x
  3. Step 3: Cross multiply
    32,587.24x = 48,868.70 × 12,859.24
  4. Step 4: Simplify right side
    32,587.24x = 628,414,341.79
  5. Step 5: Solve for x
    x = 628,414,341.79/32,587.24
  6. Step 6: Final answer
    x = 19,284.06

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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.