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Finding the Fourth Proportional to 31,047.38, 46,570.61 and 7,673.81

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Solution

The fourth proportional to 31,047.38, 46,570.61 and 7,673.81 is: 11,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047.38 : 46,570.61 = 7,673.81 : x
  2. Step 2: Convert to fraction form
    31,047.38/46,570.61 = 7,673.81/x
  3. Step 3: Cross multiply
    31,047.38x = 46,570.61 × 7,673.81
  4. Step 4: Simplify right side
    31,047.38x = 357,374,012.72
  5. Step 5: Solve for x
    x = 357,374,012.72/31,047.38
  6. Step 6: Final answer
    x = 11,510.60

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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.