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Finding the Fourth Proportional to 30,565.96, 45,845.58 and 9,786.76

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Solution

The fourth proportional to 30,565.96, 45,845.58 and 9,786.76 is: 14,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.96 : 45,845.58 = 9,786.76 : x
  2. Step 2: Convert to fraction form
    30,565.96/45,845.58 = 9,786.76/x
  3. Step 3: Cross multiply
    30,565.96x = 45,845.58 × 9,786.76
  4. Step 4: Simplify right side
    30,565.96x = 448,679,688.52
  5. Step 5: Solve for x
    x = 448,679,688.52/30,565.96
  6. Step 6: Final answer
    x = 14,679.06

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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.