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Finding the Fourth Proportional to 82,971, 114,508.62 and 51,139.08

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Solution

The fourth proportional to 82,971, 114,508.62 and 51,139.08 is: 70,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,971 : 114,508.62 = 51,139.08 : x
  2. Step 2: Convert to fraction form
    82,971/114,508.62 = 51,139.08/x
  3. Step 3: Cross multiply
    82,971x = 114,508.62 × 51,139.08
  4. Step 4: Simplify right side
    82,971x = 5,855,865,478.87
  5. Step 5: Solve for x
    x = 5,855,865,478.87/82,971
  6. Step 6: Final answer
    x = 70,577.26

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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.