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Finding the Fourth Proportional to 98,053.50, 147,102.12 and 35,724

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Solution

The fourth proportional to 98,053.50, 147,102.12 and 35,724 is: 53,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053.50 : 147,102.12 = 35,724 : x
  2. Step 2: Convert to fraction form
    98,053.50/147,102.12 = 35,724/x
  3. Step 3: Cross multiply
    98,053.50x = 147,102.12 × 35,724
  4. Step 4: Simplify right side
    98,053.50x = 5,255,076,134.88
  5. Step 5: Solve for x
    x = 5,255,076,134.88/98,053.50
  6. Step 6: Final answer
    x = 53,593.97

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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.