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Finding the Fourth Proportional to 35,894.28, 53,739 and 28,509.24

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Solution

The fourth proportional to 35,894.28, 53,739 and 28,509.24 is: 42,682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.28 : 53,739 = 28,509.24 : x
  2. Step 2: Convert to fraction form
    35,894.28/53,739 = 28,509.24/x
  3. Step 3: Cross multiply
    35,894.28x = 53,739 × 28,509.24
  4. Step 4: Simplify right side
    35,894.28x = 1,532,058,048.36
  5. Step 5: Solve for x
    x = 1,532,058,048.36/35,894.28
  6. Step 6: Final answer
    x = 42,682.51

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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.