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Finding the Fourth Proportional to 82,126.98, 113,384.07 and 53,881.98

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Solution

The fourth proportional to 82,126.98, 113,384.07 and 53,881.98 is: 74,389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,126.98 : 113,384.07 = 53,881.98 : x
  2. Step 2: Convert to fraction form
    82,126.98/113,384.07 = 53,881.98/x
  3. Step 3: Cross multiply
    82,126.98x = 113,384.07 × 53,881.98
  4. Step 4: Simplify right side
    82,126.98x = 6,109,358,192.06
  5. Step 5: Solve for x
    x = 6,109,358,192.06/82,126.98
  6. Step 6: Final answer
    x = 74,389.17

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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.