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Finding the Fourth Proportional to 46,460.96, 69,605.22 and 31,460.84

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Solution

The fourth proportional to 46,460.96, 69,605.22 and 31,460.84 is: 47,132.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.96 : 69,605.22 = 31,460.84 : x
  2. Step 2: Convert to fraction form
    46,460.96/69,605.22 = 31,460.84/x
  3. Step 3: Cross multiply
    46,460.96x = 69,605.22 × 31,460.84
  4. Step 4: Simplify right side
    46,460.96x = 2,189,838,689.58
  5. Step 5: Solve for x
    x = 2,189,838,689.58/46,460.96
  6. Step 6: Final answer
    x = 47,132.88

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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.