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Finding the Fourth Proportional to 32,733.84, 49,108.18 and 9,362.10

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Solution

The fourth proportional to 32,733.84, 49,108.18 and 9,362.10 is: 14,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,733.84 : 49,108.18 = 9,362.10 : x
  2. Step 2: Convert to fraction form
    32,733.84/49,108.18 = 9,362.10/x
  3. Step 3: Cross multiply
    32,733.84x = 49,108.18 × 9,362.10
  4. Step 4: Simplify right side
    32,733.84x = 459,755,691.98
  5. Step 5: Solve for x
    x = 459,755,691.98/32,733.84
  6. Step 6: Final answer
    x = 14,045.27

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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.