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Finding the Fourth Proportional to 31,056.52, 46,589.18 and 9,989.48

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Solution

The fourth proportional to 31,056.52, 46,589.18 and 9,989.48 is: 14,985.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.52 : 46,589.18 = 9,989.48 : x
  2. Step 2: Convert to fraction form
    31,056.52/46,589.18 = 9,989.48/x
  3. Step 3: Cross multiply
    31,056.52x = 46,589.18 × 9,989.48
  4. Step 4: Simplify right side
    31,056.52x = 465,401,681.83
  5. Step 5: Solve for x
    x = 465,401,681.83/31,056.52
  6. Step 6: Final answer
    x = 14,985.64

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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.