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Finding the Fourth Proportional to 46,698.80, 64,441 and 25,477.60

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Solution

The fourth proportional to 46,698.80, 64,441 and 25,477.60 is: 35,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698.80 : 64,441 = 25,477.60 : x
  2. Step 2: Convert to fraction form
    46,698.80/64,441 = 25,477.60/x
  3. Step 3: Cross multiply
    46,698.80x = 64,441 × 25,477.60
  4. Step 4: Simplify right side
    46,698.80x = 1,641,802,021.60
  5. Step 5: Solve for x
    x = 1,641,802,021.60/46,698.80
  6. Step 6: Final answer
    x = 35,157.26

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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.