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Finding the Fourth Proportional to 49,507.78, 74,264.92 and 14,444.50

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Solution

The fourth proportional to 49,507.78, 74,264.92 and 14,444.50 is: 21,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,507.78 : 74,264.92 = 14,444.50 : x
  2. Step 2: Convert to fraction form
    49,507.78/74,264.92 = 14,444.50/x
  3. Step 3: Cross multiply
    49,507.78x = 74,264.92 × 14,444.50
  4. Step 4: Simplify right side
    49,507.78x = 1,072,719,636.94
  5. Step 5: Solve for x
    x = 1,072,719,636.94/49,507.78
  6. Step 6: Final answer
    x = 21,667.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.