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Finding the Fourth Proportional to 105,047.37, 157,497.21 and 38,478.84

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Solution

The fourth proportional to 105,047.37, 157,497.21 and 38,478.84 is: 57,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,047.37 : 157,497.21 = 38,478.84 : x
  2. Step 2: Convert to fraction form
    105,047.37/157,497.21 = 38,478.84/x
  3. Step 3: Cross multiply
    105,047.37x = 157,497.21 × 38,478.84
  4. Step 4: Simplify right side
    105,047.37x = 6,060,309,944.04
  5. Step 5: Solve for x
    x = 6,060,309,944.04/105,047.37
  6. Step 6: Final answer
    x = 57,691.21

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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.