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Finding the Fourth Proportional to 31,222.76, 46,832.28 and 9,035.63

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Solution

The fourth proportional to 31,222.76, 46,832.28 and 9,035.63 is: 13,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,222.76 : 46,832.28 = 9,035.63 : x
  2. Step 2: Convert to fraction form
    31,222.76/46,832.28 = 9,035.63/x
  3. Step 3: Cross multiply
    31,222.76x = 46,832.28 × 9,035.63
  4. Step 4: Simplify right side
    31,222.76x = 423,159,154.14
  5. Step 5: Solve for x
    x = 423,159,154.14/31,222.76
  6. Step 6: Final answer
    x = 13,552.91

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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.