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Finding the Fourth Proportional to 40,762.14, 61,153.86 and 14,113.68

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Solution

The fourth proportional to 40,762.14, 61,153.86 and 14,113.68 is: 21,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,762.14 : 61,153.86 = 14,113.68 : x
  2. Step 2: Convert to fraction form
    40,762.14/61,153.86 = 14,113.68/x
  3. Step 3: Cross multiply
    40,762.14x = 61,153.86 × 14,113.68
  4. Step 4: Simplify right side
    40,762.14x = 863,106,010.80
  5. Step 5: Solve for x
    x = 863,106,010.80/40,762.14
  6. Step 6: Final answer
    x = 21,174.21

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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.