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Finding the Fourth Proportional to 32,895, 49,342.92 and 9,521.46

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Solution

The fourth proportional to 32,895, 49,342.92 and 9,521.46 is: 14,282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,895 : 49,342.92 = 9,521.46 : x
  2. Step 2: Convert to fraction form
    32,895/49,342.92 = 9,521.46/x
  3. Step 3: Cross multiply
    32,895x = 49,342.92 × 9,521.46
  4. Step 4: Simplify right side
    32,895x = 469,816,639.06
  5. Step 5: Solve for x
    x = 469,816,639.06/32,895
  6. Step 6: Final answer
    x = 14,282.31

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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.