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Finding the Fourth Proportional to 32,962.08, 49,428.08 and 14,233.28

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Solution

The fourth proportional to 32,962.08, 49,428.08 and 14,233.28 is: 21,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,962.08 : 49,428.08 = 14,233.28 : x
  2. Step 2: Convert to fraction form
    32,962.08/49,428.08 = 14,233.28/x
  3. Step 3: Cross multiply
    32,962.08x = 49,428.08 × 14,233.28
  4. Step 4: Simplify right side
    32,962.08x = 703,523,702.50
  5. Step 5: Solve for x
    x = 703,523,702.50/32,962.08
  6. Step 6: Final answer
    x = 21,343.43

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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.