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Finding the Fourth Proportional to 31,278.87, 46,885.50 and 22,946.40

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Solution

The fourth proportional to 31,278.87, 46,885.50 and 22,946.40 is: 34,395.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,278.87 : 46,885.50 = 22,946.40 : x
  2. Step 2: Convert to fraction form
    31,278.87/46,885.50 = 22,946.40/x
  3. Step 3: Cross multiply
    31,278.87x = 46,885.50 × 22,946.40
  4. Step 4: Simplify right side
    31,278.87x = 1,075,853,437.20
  5. Step 5: Solve for x
    x = 1,075,853,437.20/31,278.87
  6. Step 6: Final answer
    x = 34,395.53

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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.