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Finding the Fourth Proportional to 31,075.84, 46,572.16 and 11,335.84

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Solution

The fourth proportional to 31,075.84, 46,572.16 and 11,335.84 is: 16,988.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.84 : 46,572.16 = 11,335.84 : x
  2. Step 2: Convert to fraction form
    31,075.84/46,572.16 = 11,335.84/x
  3. Step 3: Cross multiply
    31,075.84x = 46,572.16 × 11,335.84
  4. Step 4: Simplify right side
    31,075.84x = 527,934,554.21
  5. Step 5: Solve for x
    x = 527,934,554.21/31,075.84
  6. Step 6: Final answer
    x = 16,988.59

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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.