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Finding the Fourth Proportional to 49,657, 74,470.92 and 14,588.32

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Solution

The fourth proportional to 49,657, 74,470.92 and 14,588.32 is: 21,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,657 : 74,470.92 = 14,588.32 : x
  2. Step 2: Convert to fraction form
    49,657/74,470.92 = 14,588.32/x
  3. Step 3: Cross multiply
    49,657x = 74,470.92 × 14,588.32
  4. Step 4: Simplify right side
    49,657x = 1,086,405,611.65
  5. Step 5: Solve for x
    x = 1,086,405,611.65/49,657
  6. Step 6: Final answer
    x = 21,878.20

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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.