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Finding the Fourth Proportional to 31,140.68, 46,712.46 and 8,953.56

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Solution

The fourth proportional to 31,140.68, 46,712.46 and 8,953.56 is: 13,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,140.68 : 46,712.46 = 8,953.56 : x
  2. Step 2: Convert to fraction form
    31,140.68/46,712.46 = 8,953.56/x
  3. Step 3: Cross multiply
    31,140.68x = 46,712.46 × 8,953.56
  4. Step 4: Simplify right side
    31,140.68x = 418,242,813.36
  5. Step 5: Solve for x
    x = 418,242,813.36/31,140.68
  6. Step 6: Final answer
    x = 13,430.75

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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.