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Finding the Fourth Proportional to 104,775.84, 157,165.16 and 29,896

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Solution

The fourth proportional to 104,775.84, 157,165.16 and 29,896 is: 44,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,775.84 : 157,165.16 = 29,896 : x
  2. Step 2: Convert to fraction form
    104,775.84/157,165.16 = 29,896/x
  3. Step 3: Cross multiply
    104,775.84x = 157,165.16 × 29,896
  4. Step 4: Simplify right side
    104,775.84x = 4,698,609,623.36
  5. Step 5: Solve for x
    x = 4,698,609,623.36/104,775.84
  6. Step 6: Final answer
    x = 44,844.40

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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.