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Finding the Fourth Proportional to 30,225.86, 45,338.73 and 8,039.24

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Solution

The fourth proportional to 30,225.86, 45,338.73 and 8,039.24 is: 12,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.86 : 45,338.73 = 8,039.24 : x
  2. Step 2: Convert to fraction form
    30,225.86/45,338.73 = 8,039.24/x
  3. Step 3: Cross multiply
    30,225.86x = 45,338.73 × 8,039.24
  4. Step 4: Simplify right side
    30,225.86x = 364,488,931.77
  5. Step 5: Solve for x
    x = 364,488,931.77/30,225.86
  6. Step 6: Final answer
    x = 12,058.84

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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.