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Finding the Fourth Proportional to 32,196, 48,291.84 and 8,822.64

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Solution

The fourth proportional to 32,196, 48,291.84 and 8,822.64 is: 13,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196 : 48,291.84 = 8,822.64 : x
  2. Step 2: Convert to fraction form
    32,196/48,291.84 = 8,822.64/x
  3. Step 3: Cross multiply
    32,196x = 48,291.84 × 8,822.64
  4. Step 4: Simplify right side
    32,196x = 426,061,519.26
  5. Step 5: Solve for x
    x = 426,061,519.26/32,196
  6. Step 6: Final answer
    x = 13,233.37

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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.