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Finding the Fourth Proportional to 35,842.24, 53,763.36 and 17,122.72

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Solution

The fourth proportional to 35,842.24, 53,763.36 and 17,122.72 is: 25,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.24 : 53,763.36 = 17,122.72 : x
  2. Step 2: Convert to fraction form
    35,842.24/53,763.36 = 17,122.72/x
  3. Step 3: Cross multiply
    35,842.24x = 53,763.36 × 17,122.72
  4. Step 4: Simplify right side
    35,842.24x = 920,574,959.54
  5. Step 5: Solve for x
    x = 920,574,959.54/35,842.24
  6. Step 6: Final answer
    x = 25,684.08

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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.