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Finding the Fourth Proportional to 49,415.57, 74,124.26 and 17,828.00

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Solution

The fourth proportional to 49,415.57, 74,124.26 and 17,828.00 is: 26,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,415.57 : 74,124.26 = 17,828.00 : x
  2. Step 2: Convert to fraction form
    49,415.57/74,124.26 = 17,828.00/x
  3. Step 3: Cross multiply
    49,415.57x = 74,124.26 × 17,828.00
  4. Step 4: Simplify right side
    49,415.57x = 1,321,487,008.94
  5. Step 5: Solve for x
    x = 1,321,487,008.94/49,415.57
  6. Step 6: Final answer
    x = 26,742.32

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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.