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Finding the Fourth Proportional to 82,014.66, 113,172.84 and 46,210.50

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Solution

The fourth proportional to 82,014.66, 113,172.84 and 46,210.50 is: 63,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,014.66 : 113,172.84 = 46,210.50 : x
  2. Step 2: Convert to fraction form
    82,014.66/113,172.84 = 46,210.50/x
  3. Step 3: Cross multiply
    82,014.66x = 113,172.84 × 46,210.50
  4. Step 4: Simplify right side
    82,014.66x = 5,229,773,522.82
  5. Step 5: Solve for x
    x = 5,229,773,522.82/82,014.66
  6. Step 6: Final answer
    x = 63,766.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.