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Finding the Fourth Proportional to 29,865.16, 44,798.27 and 7,678.80

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Solution

The fourth proportional to 29,865.16, 44,798.27 and 7,678.80 is: 11,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,865.16 : 44,798.27 = 7,678.80 : x
  2. Step 2: Convert to fraction form
    29,865.16/44,798.27 = 7,678.80/x
  3. Step 3: Cross multiply
    29,865.16x = 44,798.27 × 7,678.80
  4. Step 4: Simplify right side
    29,865.16x = 343,996,917.28
  5. Step 5: Solve for x
    x = 343,996,917.28/29,865.16
  6. Step 6: Final answer
    x = 11,518.34

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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.