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Finding the Fourth Proportional to 98,068.08, 147,087.54 and 35,724

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Solution

The fourth proportional to 98,068.08, 147,087.54 and 35,724 is: 53,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,068.08 : 147,087.54 = 35,724 : x
  2. Step 2: Convert to fraction form
    98,068.08/147,087.54 = 35,724/x
  3. Step 3: Cross multiply
    98,068.08x = 147,087.54 × 35,724
  4. Step 4: Simplify right side
    98,068.08x = 5,254,555,278.96
  5. Step 5: Solve for x
    x = 5,254,555,278.96/98,068.08
  6. Step 6: Final answer
    x = 53,580.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.