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Finding the Fourth Proportional to 30,901.82, 46,315.65 and 14,238.98

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Solution

The fourth proportional to 30,901.82, 46,315.65 and 14,238.98 is: 21,341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,901.82 : 46,315.65 = 14,238.98 : x
  2. Step 2: Convert to fraction form
    30,901.82/46,315.65 = 14,238.98/x
  3. Step 3: Cross multiply
    30,901.82x = 46,315.65 × 14,238.98
  4. Step 4: Simplify right side
    30,901.82x = 659,487,614.04
  5. Step 5: Solve for x
    x = 659,487,614.04/30,901.82
  6. Step 6: Final answer
    x = 21,341.38

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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.