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Finding the Fourth Proportional to 74,738, 103,138.44 and 41,206.16

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Solution

The fourth proportional to 74,738, 103,138.44 and 41,206.16 is: 56,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,738 : 103,138.44 = 41,206.16 : x
  2. Step 2: Convert to fraction form
    74,738/103,138.44 = 41,206.16/x
  3. Step 3: Cross multiply
    74,738x = 103,138.44 × 41,206.16
  4. Step 4: Simplify right side
    74,738x = 4,249,939,060.79
  5. Step 5: Solve for x
    x = 4,249,939,060.79/74,738
  6. Step 6: Final answer
    x = 56,864.50

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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.