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Finding the Fourth Proportional to 31,264.94, 46,875.53 and 15,674.06

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Solution

The fourth proportional to 31,264.94, 46,875.53 and 15,674.06 is: 23,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,264.94 : 46,875.53 = 15,674.06 : x
  2. Step 2: Convert to fraction form
    31,264.94/46,875.53 = 15,674.06/x
  3. Step 3: Cross multiply
    31,264.94x = 46,875.53 × 15,674.06
  4. Step 4: Simplify right side
    31,264.94x = 734,729,869.75
  5. Step 5: Solve for x
    x = 734,729,869.75/31,264.94
  6. Step 6: Final answer
    x = 23,500.12

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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.