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Finding the Fourth Proportional to 30,341.96, 45,513.57 and 7,853.12

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Solution

The fourth proportional to 30,341.96, 45,513.57 and 7,853.12 is: 11,779.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,341.96 : 45,513.57 = 7,853.12 : x
  2. Step 2: Convert to fraction form
    30,341.96/45,513.57 = 7,853.12/x
  3. Step 3: Cross multiply
    30,341.96x = 45,513.57 × 7,853.12
  4. Step 4: Simplify right side
    30,341.96x = 357,423,299.27
  5. Step 5: Solve for x
    x = 357,423,299.27/30,341.96
  6. Step 6: Final answer
    x = 11,779.84

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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.