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Finding the Fourth Proportional to 31,735.95, 43,707.03 and 31,047.05

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Solution

The fourth proportional to 31,735.95, 43,707.03 and 31,047.05 is: 42,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735.95 : 43,707.03 = 31,047.05 : x
  2. Step 2: Convert to fraction form
    31,735.95/43,707.03 = 31,047.05/x
  3. Step 3: Cross multiply
    31,735.95x = 43,707.03 × 31,047.05
  4. Step 4: Simplify right side
    31,735.95x = 1,356,974,127.23
  5. Step 5: Solve for x
    x = 1,356,974,127.23/31,735.95
  6. Step 6: Final answer
    x = 42,758.26

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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.