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Finding the Fourth Proportional to 49,842, 74,777.58 and 14,782.50

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Solution

The fourth proportional to 49,842, 74,777.58 and 14,782.50 is: 22,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842 : 74,777.58 = 14,782.50 : x
  2. Step 2: Convert to fraction form
    49,842/74,777.58 = 14,782.50/x
  3. Step 3: Cross multiply
    49,842x = 74,777.58 × 14,782.50
  4. Step 4: Simplify right side
    49,842x = 1,105,399,576.35
  5. Step 5: Solve for x
    x = 1,105,399,576.35/49,842
  6. Step 6: Final answer
    x = 22,178.07

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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.