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Finding the Fourth Proportional to 94,014.29, 140,893.44 and 51,831.11

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Solution

The fourth proportional to 94,014.29, 140,893.44 and 51,831.11 is: 77,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,014.29 : 140,893.44 = 51,831.11 : x
  2. Step 2: Convert to fraction form
    94,014.29/140,893.44 = 51,831.11/x
  3. Step 3: Cross multiply
    94,014.29x = 140,893.44 × 51,831.11
  4. Step 4: Simplify right side
    94,014.29x = 7,302,663,386.92
  5. Step 5: Solve for x
    x = 7,302,663,386.92/94,014.29
  6. Step 6: Final answer
    x = 77,676.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.