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Finding the Fourth Proportional to 32,412.07, 48,618.10 and 7,788.07

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Solution

The fourth proportional to 32,412.07, 48,618.10 and 7,788.07 is: 11,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412.07 : 48,618.10 = 7,788.07 : x
  2. Step 2: Convert to fraction form
    32,412.07/48,618.10 = 7,788.07/x
  3. Step 3: Cross multiply
    32,412.07x = 48,618.10 × 7,788.07
  4. Step 4: Simplify right side
    32,412.07x = 378,640,922.98
  5. Step 5: Solve for x
    x = 378,640,922.98/32,412.07
  6. Step 6: Final answer
    x = 11,682.10

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1.5x scale

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.