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Finding the Fourth Proportional to 105,050.70, 157,552.02 and 30,170.25

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Solution

The fourth proportional to 105,050.70, 157,552.02 and 30,170.25 is: 45,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,050.70 : 157,552.02 = 30,170.25 : x
  2. Step 2: Convert to fraction form
    105,050.70/157,552.02 = 30,170.25/x
  3. Step 3: Cross multiply
    105,050.70x = 157,552.02 × 30,170.25
  4. Step 4: Simplify right side
    105,050.70x = 4,753,383,831.41
  5. Step 5: Solve for x
    x = 4,753,383,831.41/105,050.70
  6. Step 6: Final answer
    x = 45,248.47

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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.