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Finding the Fourth Proportional to 31,075.95, 46,613.90 and 7,702.38

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Solution

The fourth proportional to 31,075.95, 46,613.90 and 7,702.38 is: 11,553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,075.95 : 46,613.90 = 7,702.38 : x
  2. Step 2: Convert to fraction form
    31,075.95/46,613.90 = 7,702.38/x
  3. Step 3: Cross multiply
    31,075.95x = 46,613.90 × 7,702.38
  4. Step 4: Simplify right side
    31,075.95x = 359,037,932.57
  5. Step 5: Solve for x
    x = 359,037,932.57/31,075.95
  6. Step 6: Final answer
    x = 11,553.56

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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.