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Finding the Fourth Proportional to 35,633.58, 53,409.06 and 13,432.74

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Solution

The fourth proportional to 35,633.58, 53,409.06 and 13,432.74 is: 20,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,633.58 : 53,409.06 = 13,432.74 : x
  2. Step 2: Convert to fraction form
    35,633.58/53,409.06 = 13,432.74/x
  3. Step 3: Cross multiply
    35,633.58x = 53,409.06 × 13,432.74
  4. Step 4: Simplify right side
    35,633.58x = 717,430,016.62
  5. Step 5: Solve for x
    x = 717,430,016.62/35,633.58
  6. Step 6: Final answer
    x = 20,133.54

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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.