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Finding the Fourth Proportional to 32,291.42, 48,503.54 and 21,213.86

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Solution

The fourth proportional to 32,291.42, 48,503.54 and 21,213.86 is: 31,864.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291.42 : 48,503.54 = 21,213.86 : x
  2. Step 2: Convert to fraction form
    32,291.42/48,503.54 = 21,213.86/x
  3. Step 3: Cross multiply
    32,291.42x = 48,503.54 × 21,213.86
  4. Step 4: Simplify right side
    32,291.42x = 1,028,947,307.06
  5. Step 5: Solve for x
    x = 1,028,947,307.06/32,291.42
  6. Step 6: Final answer
    x = 31,864.42

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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.