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Finding the Fourth Proportional to 32,049.88, 48,075.42 and 11,014.08

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Solution

The fourth proportional to 32,049.88, 48,075.42 and 11,014.08 is: 16,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049.88 : 48,075.42 = 11,014.08 : x
  2. Step 2: Convert to fraction form
    32,049.88/48,075.42 = 11,014.08/x
  3. Step 3: Cross multiply
    32,049.88x = 48,075.42 × 11,014.08
  4. Step 4: Simplify right side
    32,049.88x = 529,506,382.93
  5. Step 5: Solve for x
    x = 529,506,382.93/32,049.88
  6. Step 6: Final answer
    x = 16,521.32

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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.