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Finding the Fourth Proportional to 32,702.94, 49,044.69 and 11,928.06

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Solution

The fourth proportional to 32,702.94, 49,044.69 and 11,928.06 is: 17,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.94 : 49,044.69 = 11,928.06 : x
  2. Step 2: Convert to fraction form
    32,702.94/49,044.69 = 11,928.06/x
  3. Step 3: Cross multiply
    32,702.94x = 49,044.69 × 11,928.06
  4. Step 4: Simplify right side
    32,702.94x = 585,008,005.00
  5. Step 5: Solve for x
    x = 585,008,005.00/32,702.94
  6. Step 6: Final answer
    x = 17,888.54

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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.