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Finding the Fourth Proportional to 32,169.84, 48,272.88 and 25,130.10

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Solution

The fourth proportional to 32,169.84, 48,272.88 and 25,130.10 is: 37,709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.84 : 48,272.88 = 25,130.10 : x
  2. Step 2: Convert to fraction form
    32,169.84/48,272.88 = 25,130.10/x
  3. Step 3: Cross multiply
    32,169.84x = 48,272.88 × 25,130.10
  4. Step 4: Simplify right side
    32,169.84x = 1,213,102,301.69
  5. Step 5: Solve for x
    x = 1,213,102,301.69/32,169.84
  6. Step 6: Final answer
    x = 37,709.30

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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.