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Finding the Fourth Proportional to 30,814.32, 46,228.44 and 9,755.64

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Solution

The fourth proportional to 30,814.32, 46,228.44 and 9,755.64 is: 14,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,814.32 : 46,228.44 = 9,755.64 : x
  2. Step 2: Convert to fraction form
    30,814.32/46,228.44 = 9,755.64/x
  3. Step 3: Cross multiply
    30,814.32x = 46,228.44 × 9,755.64
  4. Step 4: Simplify right side
    30,814.32x = 450,988,018.40
  5. Step 5: Solve for x
    x = 450,988,018.40/30,814.32
  6. Step 6: Final answer
    x = 14,635.66

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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.