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Finding the Fourth Proportional to 46,584.25, 64,284.11 and 25,363.45

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Solution

The fourth proportional to 46,584.25, 64,284.11 and 25,363.45 is: 35,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584.25 : 64,284.11 = 25,363.45 : x
  2. Step 2: Convert to fraction form
    46,584.25/64,284.11 = 25,363.45/x
  3. Step 3: Cross multiply
    46,584.25x = 64,284.11 × 25,363.45
  4. Step 4: Simplify right side
    46,584.25x = 1,630,466,809.78
  5. Step 5: Solve for x
    x = 1,630,466,809.78/46,584.25
  6. Step 6: Final answer
    x = 35,000.39

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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.