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Finding the Fourth Proportional to 49,902.40, 74,864.40 and 14,845.60

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Solution

The fourth proportional to 49,902.40, 74,864.40 and 14,845.60 is: 22,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.40 : 74,864.40 = 14,845.60 : x
  2. Step 2: Convert to fraction form
    49,902.40/74,864.40 = 14,845.60/x
  3. Step 3: Cross multiply
    49,902.40x = 74,864.40 × 14,845.60
  4. Step 4: Simplify right side
    49,902.40x = 1,111,406,936.64
  5. Step 5: Solve for x
    x = 1,111,406,936.64/49,902.40
  6. Step 6: Final answer
    x = 22,271.61

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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.