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Finding the Fourth Proportional to 32,988, 49,482.27 and 8,028.18

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Solution

The fourth proportional to 32,988, 49,482.27 and 8,028.18 is: 12,042.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,988 : 49,482.27 = 8,028.18 : x
  2. Step 2: Convert to fraction form
    32,988/49,482.27 = 8,028.18/x
  3. Step 3: Cross multiply
    32,988x = 49,482.27 × 8,028.18
  4. Step 4: Simplify right side
    32,988x = 397,252,570.37
  5. Step 5: Solve for x
    x = 397,252,570.37/32,988
  6. Step 6: Final answer
    x = 12,042.34

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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.