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Finding the Fourth Proportional to 46,851.87, 70,300.89 and 21,893.64

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Solution

The fourth proportional to 46,851.87, 70,300.89 and 21,893.64 is: 32,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,851.87 : 70,300.89 = 21,893.64 : x
  2. Step 2: Convert to fraction form
    46,851.87/70,300.89 = 21,893.64/x
  3. Step 3: Cross multiply
    46,851.87x = 70,300.89 × 21,893.64
  4. Step 4: Simplify right side
    46,851.87x = 1,539,142,377.34
  5. Step 5: Solve for x
    x = 1,539,142,377.34/46,851.87
  6. Step 6: Final answer
    x = 32,851.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.