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Finding the Fourth Proportional to 49,983.84, 74,970.80 and 13,047.84

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Solution

The fourth proportional to 49,983.84, 74,970.80 and 13,047.84 is: 19,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,983.84 : 74,970.80 = 13,047.84 : x
  2. Step 2: Convert to fraction form
    49,983.84/74,970.80 = 13,047.84/x
  3. Step 3: Cross multiply
    49,983.84x = 74,970.80 × 13,047.84
  4. Step 4: Simplify right side
    49,983.84x = 978,207,003.07
  5. Step 5: Solve for x
    x = 978,207,003.07/49,983.84
  6. Step 6: Final answer
    x = 19,570.47

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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.