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Finding the Fourth Proportional to 35,894.27, 53,782.16 and 20,859.19

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Solution

The fourth proportional to 35,894.27, 53,782.16 and 20,859.19 is: 31,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.27 : 53,782.16 = 20,859.19 : x
  2. Step 2: Convert to fraction form
    35,894.27/53,782.16 = 20,859.19/x
  3. Step 3: Cross multiply
    35,894.27x = 53,782.16 × 20,859.19
  4. Step 4: Simplify right side
    35,894.27x = 1,121,852,294.05
  5. Step 5: Solve for x
    x = 1,121,852,294.05/35,894.27
  6. Step 6: Final answer
    x = 31,254.36

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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.