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Finding the Fourth Proportional to 74,774.81, 103,189.38 and 40,783.34

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Solution

The fourth proportional to 74,774.81, 103,189.38 and 40,783.34 is: 56,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,774.81 : 103,189.38 = 40,783.34 : x
  2. Step 2: Convert to fraction form
    74,774.81/103,189.38 = 40,783.34/x
  3. Step 3: Cross multiply
    74,774.81x = 103,189.38 × 40,783.34
  4. Step 4: Simplify right side
    74,774.81x = 4,208,407,568.93
  5. Step 5: Solve for x
    x = 4,208,407,568.93/74,774.81
  6. Step 6: Final answer
    x = 56,281.09

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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.