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Finding the Fourth Proportional to 32,985.13, 49,477.71 and 8,025.03

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Solution

The fourth proportional to 32,985.13, 49,477.71 and 8,025.03 is: 12,037.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985.13 : 49,477.71 = 8,025.03 : x
  2. Step 2: Convert to fraction form
    32,985.13/49,477.71 = 8,025.03/x
  3. Step 3: Cross multiply
    32,985.13x = 49,477.71 × 8,025.03
  4. Step 4: Simplify right side
    32,985.13x = 397,060,107.08
  5. Step 5: Solve for x
    x = 397,060,107.08/32,985.13
  6. Step 6: Final answer
    x = 12,037.55

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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.