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Finding the Fourth Proportional to 55,971, 83,985.66 and 24,798.96

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Solution

The fourth proportional to 55,971, 83,985.66 and 24,798.96 is: 37,211.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,971 : 83,985.66 = 24,798.96 : x
  2. Step 2: Convert to fraction form
    55,971/83,985.66 = 24,798.96/x
  3. Step 3: Cross multiply
    55,971x = 83,985.66 × 24,798.96
  4. Step 4: Simplify right side
    55,971x = 2,082,757,022.91
  5. Step 5: Solve for x
    x = 2,082,757,022.91/55,971
  6. Step 6: Final answer
    x = 37,211.36

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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.