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Finding the Fourth Proportional to 98,047.01, 147,095.04 and 27,926.32

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Solution

The fourth proportional to 98,047.01, 147,095.04 and 27,926.32 is: 41,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,047.01 : 147,095.04 = 27,926.32 : x
  2. Step 2: Convert to fraction form
    98,047.01/147,095.04 = 27,926.32/x
  3. Step 3: Cross multiply
    98,047.01x = 147,095.04 × 27,926.32
  4. Step 4: Simplify right side
    98,047.01x = 4,107,823,157.45
  5. Step 5: Solve for x
    x = 4,107,823,157.45/98,047.01
  6. Step 6: Final answer
    x = 41,896.47

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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.