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Finding the Fourth Proportional to 77,294, 115,898.40 and 23,971.22

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Solution

The fourth proportional to 77,294, 115,898.40 and 23,971.22 is: 35,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,294 : 115,898.40 = 23,971.22 : x
  2. Step 2: Convert to fraction form
    77,294/115,898.40 = 23,971.22/x
  3. Step 3: Cross multiply
    77,294x = 115,898.40 × 23,971.22
  4. Step 4: Simplify right side
    77,294x = 2,778,226,044.05
  5. Step 5: Solve for x
    x = 2,778,226,044.05/77,294
  6. Step 6: Final answer
    x = 35,943.62

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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.