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Finding the Fourth Proportional to 32,412.02, 48,618.06 and 7,788.02

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Solution

The fourth proportional to 32,412.02, 48,618.06 and 7,788.02 is: 11,682.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.02 : 48,618.06 = 7,788.02 : x
  2. Step 2: Convert to fraction form
    32,412.02/48,618.06 = 7,788.02/x
  3. Step 3: Cross multiply
    32,412.02x = 48,618.06 × 7,788.02
  4. Step 4: Simplify right side
    32,412.02x = 378,638,423.64
  5. Step 5: Solve for x
    x = 378,638,423.64/32,412.02
  6. Step 6: Final answer
    x = 11,682.04

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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.