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Finding the Fourth Proportional to 46,675.22, 64,411.94 and 25,454.57

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Solution

The fourth proportional to 46,675.22, 64,411.94 and 25,454.57 is: 35,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,675.22 : 64,411.94 = 25,454.57 : x
  2. Step 2: Convert to fraction form
    46,675.22/64,411.94 = 25,454.57/x
  3. Step 3: Cross multiply
    46,675.22x = 64,411.94 × 25,454.57
  4. Step 4: Simplify right side
    46,675.22x = 1,639,577,977.14
  5. Step 5: Solve for x
    x = 1,639,577,977.14/46,675.22
  6. Step 6: Final answer
    x = 35,127.38

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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.