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Finding the Fourth Proportional to 31,035.63, 46,560.74 and 10,259.13

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Solution

The fourth proportional to 31,035.63, 46,560.74 and 10,259.13 is: 15,391.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035.63 : 46,560.74 = 10,259.13 : x
  2. Step 2: Convert to fraction form
    31,035.63/46,560.74 = 10,259.13/x
  3. Step 3: Cross multiply
    31,035.63x = 46,560.74 × 10,259.13
  4. Step 4: Simplify right side
    31,035.63x = 477,672,684.56
  5. Step 5: Solve for x
    x = 477,672,684.56/31,035.63
  6. Step 6: Final answer
    x = 15,391.11

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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.