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Finding the Fourth Proportional to 46,697.74, 64,441.60 and 25,477

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Solution

The fourth proportional to 46,697.74, 64,441.60 and 25,477 is: 35,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697.74 : 64,441.60 = 25,477 : x
  2. Step 2: Convert to fraction form
    46,697.74/64,441.60 = 25,477/x
  3. Step 3: Cross multiply
    46,697.74x = 64,441.60 × 25,477
  4. Step 4: Simplify right side
    46,697.74x = 1,641,778,643.20
  5. Step 5: Solve for x
    x = 1,641,778,643.20/46,697.74
  6. Step 6: Final answer
    x = 35,157.56

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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.