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Finding the Fourth Proportional to 32,017.76, 48,028.44 and 8,646.04

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Solution

The fourth proportional to 32,017.76, 48,028.44 and 8,646.04 is: 12,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017.76 : 48,028.44 = 8,646.04 : x
  2. Step 2: Convert to fraction form
    32,017.76/48,028.44 = 8,646.04/x
  3. Step 3: Cross multiply
    32,017.76x = 48,028.44 × 8,646.04
  4. Step 4: Simplify right side
    32,017.76x = 415,255,813.38
  5. Step 5: Solve for x
    x = 415,255,813.38/32,017.76
  6. Step 6: Final answer
    x = 12,969.55

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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.