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Finding the Fourth Proportional to 96,093.56, 144,154.12 and 29,539.28

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Solution

The fourth proportional to 96,093.56, 144,154.12 and 29,539.28 is: 44,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,093.56 : 144,154.12 = 29,539.28 : x
  2. Step 2: Convert to fraction form
    96,093.56/144,154.12 = 29,539.28/x
  3. Step 3: Cross multiply
    96,093.56x = 144,154.12 × 29,539.28
  4. Step 4: Simplify right side
    96,093.56x = 4,258,208,913.83
  5. Step 5: Solve for x
    x = 4,258,208,913.83/96,093.56
  6. Step 6: Final answer
    x = 44,313.16

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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.