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Finding the Fourth Proportional to 40,829.82, 61,253.47 and 14,176.64

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Solution

The fourth proportional to 40,829.82, 61,253.47 and 14,176.64 is: 21,267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,829.82 : 61,253.47 = 14,176.64 : x
  2. Step 2: Convert to fraction form
    40,829.82/61,253.47 = 14,176.64/x
  3. Step 3: Cross multiply
    40,829.82x = 61,253.47 × 14,176.64
  4. Step 4: Simplify right side
    40,829.82x = 868,368,139.50
  5. Step 5: Solve for x
    x = 868,368,139.50/40,829.82
  6. Step 6: Final answer
    x = 21,267.99

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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.