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Finding the Fourth Proportional to 74,334.36, 102,580.38 and 46,047

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Solution

The fourth proportional to 74,334.36, 102,580.38 and 46,047 is: 63,544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,334.36 : 102,580.38 = 46,047 : x
  2. Step 2: Convert to fraction form
    74,334.36/102,580.38 = 46,047/x
  3. Step 3: Cross multiply
    74,334.36x = 102,580.38 × 46,047
  4. Step 4: Simplify right side
    74,334.36x = 4,723,518,757.86
  5. Step 5: Solve for x
    x = 4,723,518,757.86/74,334.36
  6. Step 6: Final answer
    x = 63,544.22

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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.