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Finding the Fourth Proportional to 46,978.80, 64,829.34 and 25,757.34

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Solution

The fourth proportional to 46,978.80, 64,829.34 and 25,757.34 is: 35,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.80 : 64,829.34 = 25,757.34 : x
  2. Step 2: Convert to fraction form
    46,978.80/64,829.34 = 25,757.34/x
  3. Step 3: Cross multiply
    46,978.80x = 64,829.34 × 25,757.34
  4. Step 4: Simplify right side
    46,978.80x = 1,669,831,352.36
  5. Step 5: Solve for x
    x = 1,669,831,352.36/46,978.80
  6. Step 6: Final answer
    x = 35,544.36

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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.