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Finding the Fourth Proportional to 49,852.96, 74,778.72 and 14,816.32

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Solution

The fourth proportional to 49,852.96, 74,778.72 and 14,816.32 is: 22,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,852.96 : 74,778.72 = 14,816.32 : x
  2. Step 2: Convert to fraction form
    49,852.96/74,778.72 = 14,816.32/x
  3. Step 3: Cross multiply
    49,852.96x = 74,778.72 × 14,816.32
  4. Step 4: Simplify right side
    49,852.96x = 1,107,945,444.71
  5. Step 5: Solve for x
    x = 1,107,945,444.71/49,852.96
  6. Step 6: Final answer
    x = 22,224.27

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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.