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Finding the Fourth Proportional to 115,973.10, 173,978.57 and 41,077.01

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Solution

The fourth proportional to 115,973.10, 173,978.57 and 41,077.01 is: 61,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,973.10 : 173,978.57 = 41,077.01 : x
  2. Step 2: Convert to fraction form
    115,973.10/173,978.57 = 41,077.01/x
  3. Step 3: Cross multiply
    115,973.10x = 173,978.57 × 41,077.01
  4. Step 4: Simplify right side
    115,973.10x = 7,146,519,459.68
  5. Step 5: Solve for x
    x = 7,146,519,459.68/115,973.10
  6. Step 6: Final answer
    x = 61,622.22

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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.