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Finding the Fourth Proportional to 74,875.38, 103,327.23 and 40,883.76

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Solution

The fourth proportional to 74,875.38, 103,327.23 and 40,883.76 is: 56,419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,875.38 : 103,327.23 = 40,883.76 : x
  2. Step 2: Convert to fraction form
    74,875.38/103,327.23 = 40,883.76/x
  3. Step 3: Cross multiply
    74,875.38x = 103,327.23 × 40,883.76
  4. Step 4: Simplify right side
    74,875.38x = 4,224,405,672.78
  5. Step 5: Solve for x
    x = 4,224,405,672.78/74,875.38
  6. Step 6: Final answer
    x = 56,419.16

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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.