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Finding the Fourth Proportional to 101,896.27, 152,852.60 and 38,746.60

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Solution

The fourth proportional to 101,896.27, 152,852.60 and 38,746.60 is: 58,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,896.27 : 152,852.60 = 38,746.60 : x
  2. Step 2: Convert to fraction form
    101,896.27/152,852.60 = 38,746.60/x
  3. Step 3: Cross multiply
    101,896.27x = 152,852.60 × 38,746.60
  4. Step 4: Simplify right side
    101,896.27x = 5,922,518,551.16
  5. Step 5: Solve for x
    x = 5,922,518,551.16/101,896.27
  6. Step 6: Final answer
    x = 58,123.02

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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.