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Finding the Fourth Proportional to 66,849.86, 100,263.50 and 31,314.98

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Solution

The fourth proportional to 66,849.86, 100,263.50 and 31,314.98 is: 46,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,849.86 : 100,263.50 = 31,314.98 : x
  2. Step 2: Convert to fraction form
    66,849.86/100,263.50 = 31,314.98/x
  3. Step 3: Cross multiply
    66,849.86x = 100,263.50 × 31,314.98
  4. Step 4: Simplify right side
    66,849.86x = 3,139,749,074.20
  5. Step 5: Solve for x
    x = 3,139,749,074.20/66,849.86
  6. Step 6: Final answer
    x = 46,967.18

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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.