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Finding the Fourth Proportional to 74,135.64, 102,305.72 and 42,299.40

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Solution

The fourth proportional to 74,135.64, 102,305.72 and 42,299.40 is: 58,372.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,135.64 : 102,305.72 = 42,299.40 : x
  2. Step 2: Convert to fraction form
    74,135.64/102,305.72 = 42,299.40/x
  3. Step 3: Cross multiply
    74,135.64x = 102,305.72 × 42,299.40
  4. Step 4: Simplify right side
    74,135.64x = 4,327,470,572.57
  5. Step 5: Solve for x
    x = 4,327,470,572.57/74,135.64
  6. Step 6: Final answer
    x = 58,372.34

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