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Finding the Fourth Proportional to 98,068.82, 147,125.09 and 35,739.32

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Solution

The fourth proportional to 98,068.82, 147,125.09 and 35,739.32 is: 53,616.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068.82 : 147,125.09 = 35,739.32 : x
  2. Step 2: Convert to fraction form
    98,068.82/147,125.09 = 35,739.32/x
  3. Step 3: Cross multiply
    98,068.82x = 147,125.09 × 35,739.32
  4. Step 4: Simplify right side
    98,068.82x = 5,258,150,492.84
  5. Step 5: Solve for x
    x = 5,258,150,492.84/98,068.82
  6. Step 6: Final answer
    x = 53,616.94

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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.