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Finding the Fourth Proportional to 97,617.12, 146,412.63 and 27,501.90

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Solution

The fourth proportional to 97,617.12, 146,412.63 and 27,501.90 is: 41,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,617.12 : 146,412.63 = 27,501.90 : x
  2. Step 2: Convert to fraction form
    97,617.12/146,412.63 = 27,501.90/x
  3. Step 3: Cross multiply
    97,617.12x = 146,412.63 × 27,501.90
  4. Step 4: Simplify right side
    97,617.12x = 4,026,625,509.00
  5. Step 5: Solve for x
    x = 4,026,625,509.00/97,617.12
  6. Step 6: Final answer
    x = 41,249.17

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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.