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Finding the Fourth Proportional to 49,902.50, 74,866.08 and 14,842.01

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Solution

The fourth proportional to 49,902.50, 74,866.08 and 14,842.01 is: 22,266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,902.50 : 74,866.08 = 14,842.01 : x
  2. Step 2: Convert to fraction form
    49,902.50/74,866.08 = 14,842.01/x
  3. Step 3: Cross multiply
    49,902.50x = 74,866.08 × 14,842.01
  4. Step 4: Simplify right side
    49,902.50x = 1,111,163,108.02
  5. Step 5: Solve for x
    x = 1,111,163,108.02/49,902.50
  6. Step 6: Final answer
    x = 22,266.68

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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.