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Finding the Fourth Proportional to 31,145.58, 46,718.37 and 7,772.02

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Solution

The fourth proportional to 31,145.58, 46,718.37 and 7,772.02 is: 11,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.58 : 46,718.37 = 7,772.02 : x
  2. Step 2: Convert to fraction form
    31,145.58/46,718.37 = 7,772.02/x
  3. Step 3: Cross multiply
    31,145.58x = 46,718.37 × 7,772.02
  4. Step 4: Simplify right side
    31,145.58x = 363,095,989.21
  5. Step 5: Solve for x
    x = 363,095,989.21/31,145.58
  6. Step 6: Final answer
    x = 11,658.03

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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.