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Finding the Fourth Proportional to 30,181.86, 45,277.65 and 9,400.50

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Solution

The fourth proportional to 30,181.86, 45,277.65 and 9,400.50 is: 14,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,181.86 : 45,277.65 = 9,400.50 : x
  2. Step 2: Convert to fraction form
    30,181.86/45,277.65 = 9,400.50/x
  3. Step 3: Cross multiply
    30,181.86x = 45,277.65 × 9,400.50
  4. Step 4: Simplify right side
    30,181.86x = 425,632,548.83
  5. Step 5: Solve for x
    x = 425,632,548.83/30,181.86
  6. Step 6: Final answer
    x = 14,102.26

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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.