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Finding the Fourth Proportional to 35,789, 53,665.26 and 13,585.48

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Solution

The fourth proportional to 35,789, 53,665.26 and 13,585.48 is: 20,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,789 : 53,665.26 = 13,585.48 : x
  2. Step 2: Convert to fraction form
    35,789/53,665.26 = 13,585.48/x
  3. Step 3: Cross multiply
    35,789x = 53,665.26 × 13,585.48
  4. Step 4: Simplify right side
    35,789x = 729,068,316.42
  5. Step 5: Solve for x
    x = 729,068,316.42/35,789
  6. Step 6: Final answer
    x = 20,371.30

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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.