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Finding the Fourth Proportional to 98,783.10, 148,169.43 and 27,710.64

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Solution

The fourth proportional to 98,783.10, 148,169.43 and 27,710.64 is: 41,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,783.10 : 148,169.43 = 27,710.64 : x
  2. Step 2: Convert to fraction form
    98,783.10/148,169.43 = 27,710.64/x
  3. Step 3: Cross multiply
    98,783.10x = 148,169.43 × 27,710.64
  4. Step 4: Simplify right side
    98,783.10x = 4,105,870,173.44
  5. Step 5: Solve for x
    x = 4,105,870,173.44/98,783.10
  6. Step 6: Final answer
    x = 41,564.50

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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.