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Finding the Fourth Proportional to 98,094.38, 147,142.95 and 27,973.69

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Solution

The fourth proportional to 98,094.38, 147,142.95 and 27,973.69 is: 41,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,094.38 : 147,142.95 = 27,973.69 : x
  2. Step 2: Convert to fraction form
    98,094.38/147,142.95 = 27,973.69/x
  3. Step 3: Cross multiply
    98,094.38x = 147,142.95 × 27,973.69
  4. Step 4: Simplify right side
    98,094.38x = 4,116,130,796.23
  5. Step 5: Solve for x
    x = 4,116,130,796.23/98,094.38
  6. Step 6: Final answer
    x = 41,960.93

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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.