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Finding the Fourth Proportional to 105,093.60, 157,683.60 and 38,565.60

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Solution

The fourth proportional to 105,093.60, 157,683.60 and 38,565.60 is: 57,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,093.60 : 157,683.60 = 38,565.60 : x
  2. Step 2: Convert to fraction form
    105,093.60/157,683.60 = 38,565.60/x
  3. Step 3: Cross multiply
    105,093.60x = 157,683.60 × 38,565.60
  4. Step 4: Simplify right side
    105,093.60x = 6,081,162,644.16
  5. Step 5: Solve for x
    x = 6,081,162,644.16/105,093.60
  6. Step 6: Final answer
    x = 57,864.25

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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.