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Finding the Fourth Proportional to 85,150, 127,783.68 and 29,746

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Solution

The fourth proportional to 85,150, 127,783.68 and 29,746 is: 44,639.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,150 : 127,783.68 = 29,746 : x
  2. Step 2: Convert to fraction form
    85,150/127,783.68 = 29,746/x
  3. Step 3: Cross multiply
    85,150x = 127,783.68 × 29,746
  4. Step 4: Simplify right side
    85,150x = 3,801,053,345.28
  5. Step 5: Solve for x
    x = 3,801,053,345.28/85,150
  6. Step 6: Final answer
    x = 44,639.50

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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.