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Finding the Fourth Proportional to 34,952.16, 47,962.72 and 31,784.16

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Solution

The fourth proportional to 34,952.16, 47,962.72 and 31,784.16 is: 43,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,952.16 : 47,962.72 = 31,784.16 : x
  2. Step 2: Convert to fraction form
    34,952.16/47,962.72 = 31,784.16/x
  3. Step 3: Cross multiply
    34,952.16x = 47,962.72 × 31,784.16
  4. Step 4: Simplify right side
    34,952.16x = 1,524,454,766.52
  5. Step 5: Solve for x
    x = 1,524,454,766.52/34,952.16
  6. Step 6: Final answer
    x = 43,615.47

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.