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Finding the Fourth Proportional to 31,075.38, 46,613.58 and 7,701.84

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Solution

The fourth proportional to 31,075.38, 46,613.58 and 7,701.84 is: 11,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.38 : 46,613.58 = 7,701.84 : x
  2. Step 2: Convert to fraction form
    31,075.38/46,613.58 = 7,701.84/x
  3. Step 3: Cross multiply
    31,075.38x = 46,613.58 × 7,701.84
  4. Step 4: Simplify right side
    31,075.38x = 359,010,334.99
  5. Step 5: Solve for x
    x = 359,010,334.99/31,075.38
  6. Step 6: Final answer
    x = 11,552.89

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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.