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Finding the Fourth Proportional to 98,018.48, 147,027 and 27,897.68

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Solution

The fourth proportional to 98,018.48, 147,027 and 27,897.68 is: 41,846.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,018.48 : 147,027 = 27,897.68 : x
  2. Step 2: Convert to fraction form
    98,018.48/147,027 = 27,897.68/x
  3. Step 3: Cross multiply
    98,018.48x = 147,027 × 27,897.68
  4. Step 4: Simplify right side
    98,018.48x = 4,101,712,197.36
  5. Step 5: Solve for x
    x = 4,101,712,197.36/98,018.48
  6. Step 6: Final answer
    x = 41,846.32

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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.