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Finding the Fourth Proportional to 30,754.46, 46,133.52 and 9,695.17

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Solution

The fourth proportional to 30,754.46, 46,133.52 and 9,695.17 is: 14,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.46 : 46,133.52 = 9,695.17 : x
  2. Step 2: Convert to fraction form
    30,754.46/46,133.52 = 9,695.17/x
  3. Step 3: Cross multiply
    30,754.46x = 46,133.52 × 9,695.17
  4. Step 4: Simplify right side
    30,754.46x = 447,272,340.41
  5. Step 5: Solve for x
    x = 447,272,340.41/30,754.46
  6. Step 6: Final answer
    x = 14,543.33

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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.