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Finding the Fourth Proportional to 46,415.57, 64,054.80 and 25,196.20

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Solution

The fourth proportional to 46,415.57, 64,054.80 and 25,196.20 is: 34,771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,415.57 : 64,054.80 = 25,196.20 : x
  2. Step 2: Convert to fraction form
    46,415.57/64,054.80 = 25,196.20/x
  3. Step 3: Cross multiply
    46,415.57x = 64,054.80 × 25,196.20
  4. Step 4: Simplify right side
    46,415.57x = 1,613,937,391.62
  5. Step 5: Solve for x
    x = 1,613,937,391.62/46,415.57
  6. Step 6: Final answer
    x = 34,771.47

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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.