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Finding the Fourth Proportional to 35,470.74, 53,224.74 and 15,763.44

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Solution

The fourth proportional to 35,470.74, 53,224.74 and 15,763.44 is: 23,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,470.74 : 53,224.74 = 15,763.44 : x
  2. Step 2: Convert to fraction form
    35,470.74/53,224.74 = 15,763.44/x
  3. Step 3: Cross multiply
    35,470.74x = 53,224.74 × 15,763.44
  4. Step 4: Simplify right side
    35,470.74x = 839,004,995.51
  5. Step 5: Solve for x
    x = 839,004,995.51/35,470.74
  6. Step 6: Final answer
    x = 23,653.44

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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.