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Finding the Fourth Proportional to 31,222.42, 46,841.02 and 9,036.32

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Solution

The fourth proportional to 31,222.42, 46,841.02 and 9,036.32 is: 13,556.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.42 : 46,841.02 = 9,036.32 : x
  2. Step 2: Convert to fraction form
    31,222.42/46,841.02 = 9,036.32/x
  3. Step 3: Cross multiply
    31,222.42x = 46,841.02 × 9,036.32
  4. Step 4: Simplify right side
    31,222.42x = 423,270,445.85
  5. Step 5: Solve for x
    x = 423,270,445.85/31,222.42
  6. Step 6: Final answer
    x = 13,556.62

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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.