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Finding the Fourth Proportional to 46,978.41, 64,830.48 and 25,468.32

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Solution

The fourth proportional to 46,978.41, 64,830.48 and 25,468.32 is: 35,146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.41 : 64,830.48 = 25,468.32 : x
  2. Step 2: Convert to fraction form
    46,978.41/64,830.48 = 25,468.32/x
  3. Step 3: Cross multiply
    46,978.41x = 64,830.48 × 25,468.32
  4. Step 4: Simplify right side
    46,978.41x = 1,651,123,410.39
  5. Step 5: Solve for x
    x = 1,651,123,410.39/46,978.41
  6. Step 6: Final answer
    x = 35,146.43

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Why These Related Problems?

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