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Finding the Fourth Proportional to 105,352.53, 157,954.86 and 38,784.12

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Solution

The fourth proportional to 105,352.53, 157,954.86 and 38,784.12 is: 58,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,352.53 : 157,954.86 = 38,784.12 : x
  2. Step 2: Convert to fraction form
    105,352.53/157,954.86 = 38,784.12/x
  3. Step 3: Cross multiply
    105,352.53x = 157,954.86 × 38,784.12
  4. Step 4: Simplify right side
    105,352.53x = 6,126,140,244.82
  5. Step 5: Solve for x
    x = 6,126,140,244.82/105,352.53
  6. Step 6: Final answer
    x = 58,148.96

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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.