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Finding the Fourth Proportional to 123,467.22, 185,214.50 and 48,577.50

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Solution

The fourth proportional to 123,467.22, 185,214.50 and 48,577.50 is: 72,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,467.22 : 185,214.50 = 48,577.50 : x
  2. Step 2: Convert to fraction form
    123,467.22/185,214.50 = 48,577.50/x
  3. Step 3: Cross multiply
    123,467.22x = 185,214.50 × 48,577.50
  4. Step 4: Simplify right side
    123,467.22x = 8,997,257,130.86
  5. Step 5: Solve for x
    x = 8,997,257,130.86/123,467.22
  6. Step 6: Final answer
    x = 72,871.63

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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.