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Finding the Fourth Proportional to 49,978.46, 74,967.66 and 13,042.46

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Solution

The fourth proportional to 49,978.46, 74,967.66 and 13,042.46 is: 19,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.46 : 74,967.66 = 13,042.46 : x
  2. Step 2: Convert to fraction form
    49,978.46/74,967.66 = 13,042.46/x
  3. Step 3: Cross multiply
    49,978.46x = 74,967.66 × 13,042.46
  4. Step 4: Simplify right side
    49,978.46x = 977,762,706.84
  5. Step 5: Solve for x
    x = 977,762,706.84/49,978.46
  6. Step 6: Final answer
    x = 19,563.68

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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.