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Finding the Fourth Proportional to 82,971, 114,499.98 and 45,245.52

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Solution

The fourth proportional to 82,971, 114,499.98 and 45,245.52 is: 62,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,971 : 114,499.98 = 45,245.52 : x
  2. Step 2: Convert to fraction form
    82,971/114,499.98 = 45,245.52/x
  3. Step 3: Cross multiply
    82,971x = 114,499.98 × 45,245.52
  4. Step 4: Simplify right side
    82,971x = 5,180,611,135.09
  5. Step 5: Solve for x
    x = 5,180,611,135.09/82,971
  6. Step 6: Final answer
    x = 62,438.82

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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.