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Finding the Fourth Proportional to 31,064.17, 46,596.26 and 7,690.61

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Solution

The fourth proportional to 31,064.17, 46,596.26 and 7,690.61 is: 11,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.17 : 46,596.26 = 7,690.61 : x
  2. Step 2: Convert to fraction form
    31,064.17/46,596.26 = 7,690.61/x
  3. Step 3: Cross multiply
    31,064.17x = 46,596.26 × 7,690.61
  4. Step 4: Simplify right side
    31,064.17x = 358,353,643.89
  5. Step 5: Solve for x
    x = 358,353,643.89/31,064.17
  6. Step 6: Final answer
    x = 11,535.91

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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.