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Finding the Fourth Proportional to 32,702.25, 49,053.85 and 9,328.69

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Solution

The fourth proportional to 32,702.25, 49,053.85 and 9,328.69 is: 13,993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.25 : 49,053.85 = 9,328.69 : x
  2. Step 2: Convert to fraction form
    32,702.25/49,053.85 = 9,328.69/x
  3. Step 3: Cross multiply
    32,702.25x = 49,053.85 × 9,328.69
  4. Step 4: Simplify right side
    32,702.25x = 457,608,014.00
  5. Step 5: Solve for x
    x = 457,608,014.00/32,702.25
  6. Step 6: Final answer
    x = 13,993.17

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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.