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Finding the Fourth Proportional to 74,999.10, 103,498.74 and 43,174.20

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Solution

The fourth proportional to 74,999.10, 103,498.74 and 43,174.20 is: 59,580.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,999.10 : 103,498.74 = 43,174.20 : x
  2. Step 2: Convert to fraction form
    74,999.10/103,498.74 = 43,174.20/x
  3. Step 3: Cross multiply
    74,999.10x = 103,498.74 × 43,174.20
  4. Step 4: Simplify right side
    74,999.10x = 4,468,475,300.51
  5. Step 5: Solve for x
    x = 4,468,475,300.51/74,999.10
  6. Step 6: Final answer
    x = 59,580.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.