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Finding the Fourth Proportional to 104,746, 157,143.60 and 34,625.30

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Solution

The fourth proportional to 104,746, 157,143.60 and 34,625.30 is: 51,946.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,746 : 157,143.60 = 34,625.30 : x
  2. Step 2: Convert to fraction form
    104,746/157,143.60 = 34,625.30/x
  3. Step 3: Cross multiply
    104,746x = 157,143.60 × 34,625.30
  4. Step 4: Simplify right side
    104,746x = 5,441,144,293.08
  5. Step 5: Solve for x
    x = 5,441,144,293.08/104,746
  6. Step 6: Final answer
    x = 51,946.08

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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.