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Finding the Fourth Proportional to 102,037.30, 153,015.90 and 38,823.85

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Solution

The fourth proportional to 102,037.30, 153,015.90 and 38,823.85 is: 58,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,037.30 : 153,015.90 = 38,823.85 : x
  2. Step 2: Convert to fraction form
    102,037.30/153,015.90 = 38,823.85/x
  3. Step 3: Cross multiply
    102,037.30x = 153,015.90 × 38,823.85
  4. Step 4: Simplify right side
    102,037.30x = 5,940,666,349.22
  5. Step 5: Solve for x
    x = 5,940,666,349.22/102,037.30
  6. Step 6: Final answer
    x = 58,220.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.