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Finding the Fourth Proportional to 31,475, 43,435.56 and 17,134.76

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Solution

The fourth proportional to 31,475, 43,435.56 and 17,134.76 is: 23,646.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475 : 43,435.56 = 17,134.76 : x
  2. Step 2: Convert to fraction form
    31,475/43,435.56 = 17,134.76/x
  3. Step 3: Cross multiply
    31,475x = 43,435.56 × 17,134.76
  4. Step 4: Simplify right side
    31,475x = 744,257,896.07
  5. Step 5: Solve for x
    x = 744,257,896.07/31,475
  6. Step 6: Final answer
    x = 23,646.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.