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Finding the Fourth Proportional to 105,096.60, 157,688.10 and 38,568.60

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Solution

The fourth proportional to 105,096.60, 157,688.10 and 38,568.60 is: 57,868.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,096.60 : 157,688.10 = 38,568.60 : x
  2. Step 2: Convert to fraction form
    105,096.60/157,688.10 = 38,568.60/x
  3. Step 3: Cross multiply
    105,096.60x = 157,688.10 × 38,568.60
  4. Step 4: Simplify right side
    105,096.60x = 6,081,809,253.66
  5. Step 5: Solve for x
    x = 6,081,809,253.66/105,096.60
  6. Step 6: Final answer
    x = 57,868.75

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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.