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Finding the Fourth Proportional to 31,059.09, 46,588.08 and 7,685.55

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Solution

The fourth proportional to 31,059.09, 46,588.08 and 7,685.55 is: 11,528.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.09 : 46,588.08 = 7,685.55 : x
  2. Step 2: Convert to fraction form
    31,059.09/46,588.08 = 7,685.55/x
  3. Step 3: Cross multiply
    31,059.09x = 46,588.08 × 7,685.55
  4. Step 4: Simplify right side
    31,059.09x = 358,055,018.24
  5. Step 5: Solve for x
    x = 358,055,018.24/31,059.09
  6. Step 6: Final answer
    x = 11,528.19

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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.