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Finding the Fourth Proportional to 105,289.14, 157,910.46 and 30,393.01

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Solution

The fourth proportional to 105,289.14, 157,910.46 and 30,393.01 is: 45,582.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,289.14 : 157,910.46 = 30,393.01 : x
  2. Step 2: Convert to fraction form
    105,289.14/157,910.46 = 30,393.01/x
  3. Step 3: Cross multiply
    105,289.14x = 157,910.46 × 30,393.01
  4. Step 4: Simplify right side
    105,289.14x = 4,799,374,037.92
  5. Step 5: Solve for x
    x = 4,799,374,037.92/105,289.14
  6. Step 6: Final answer
    x = 45,582.80

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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.