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Finding the Fourth Proportional to 31,075.60, 46,620.15 and 11,354.13

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Solution

The fourth proportional to 31,075.60, 46,620.15 and 11,354.13 is: 17,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.60 : 46,620.15 = 11,354.13 : x
  2. Step 2: Convert to fraction form
    31,075.60/46,620.15 = 11,354.13/x
  3. Step 3: Cross multiply
    31,075.60x = 46,620.15 × 11,354.13
  4. Step 4: Simplify right side
    31,075.60x = 529,331,243.72
  5. Step 5: Solve for x
    x = 529,331,243.72/31,075.60
  6. Step 6: Final answer
    x = 17,033.66

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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.