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Finding the Fourth Proportional to 31,214, 46,807.68 and 18,075.44

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Solution

The fourth proportional to 31,214, 46,807.68 and 18,075.44 is: 27,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214 : 46,807.68 = 18,075.44 : x
  2. Step 2: Convert to fraction form
    31,214/46,807.68 = 18,075.44/x
  3. Step 3: Cross multiply
    31,214x = 46,807.68 × 18,075.44
  4. Step 4: Simplify right side
    31,214x = 846,069,411.38
  5. Step 5: Solve for x
    x = 846,069,411.38/31,214
  6. Step 6: Final answer
    x = 27,105.45

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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.