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Finding the Fourth Proportional to 32,726.02, 49,088.49 and 8,102.02

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Solution

The fourth proportional to 32,726.02, 49,088.49 and 8,102.02 is: 12,152.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,726.02 : 49,088.49 = 8,102.02 : x
  2. Step 2: Convert to fraction form
    32,726.02/49,088.49 = 8,102.02/x
  3. Step 3: Cross multiply
    32,726.02x = 49,088.49 × 8,102.02
  4. Step 4: Simplify right side
    32,726.02x = 397,715,927.75
  5. Step 5: Solve for x
    x = 397,715,927.75/32,726.02
  6. Step 6: Final answer
    x = 12,152.90

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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.