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Finding the Fourth Proportional to 30,783.90, 46,174.89 and 11,063.58

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Solution

The fourth proportional to 30,783.90, 46,174.89 and 11,063.58 is: 16,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.90 : 46,174.89 = 11,063.58 : x
  2. Step 2: Convert to fraction form
    30,783.90/46,174.89 = 11,063.58/x
  3. Step 3: Cross multiply
    30,783.90x = 46,174.89 × 11,063.58
  4. Step 4: Simplify right side
    30,783.90x = 510,859,589.51
  5. Step 5: Solve for x
    x = 510,859,589.51/30,783.90
  6. Step 6: Final answer
    x = 16,595.02

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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.