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Finding the Fourth Proportional to 77,349.74, 116,035.72 and 29,336.00

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Solution

The fourth proportional to 77,349.74, 116,035.72 and 29,336.00 is: 44,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,349.74 : 116,035.72 = 29,336.00 : x
  2. Step 2: Convert to fraction form
    77,349.74/116,035.72 = 29,336.00/x
  3. Step 3: Cross multiply
    77,349.74x = 116,035.72 × 29,336.00
  4. Step 4: Simplify right side
    77,349.74x = 3,404,023,228.40
  5. Step 5: Solve for x
    x = 3,404,023,228.40/77,349.74
  6. Step 6: Final answer
    x = 44,008.21

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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.