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Finding the Fourth Proportional to 32,422.94, 48,639.47 and 13,703.06

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Solution

The fourth proportional to 32,422.94, 48,639.47 and 13,703.06 is: 20,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422.94 : 48,639.47 = 13,703.06 : x
  2. Step 2: Convert to fraction form
    32,422.94/48,639.47 = 13,703.06/x
  3. Step 3: Cross multiply
    32,422.94x = 48,639.47 × 13,703.06
  4. Step 4: Simplify right side
    32,422.94x = 666,509,575.78
  5. Step 5: Solve for x
    x = 666,509,575.78/32,422.94
  6. Step 6: Final answer
    x = 20,556.73

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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.