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Finding the Fourth Proportional to 46,857.60, 70,208.64 and 32,977.44

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Solution

The fourth proportional to 46,857.60, 70,208.64 and 32,977.44 is: 49,411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,857.60 : 70,208.64 = 32,977.44 : x
  2. Step 2: Convert to fraction form
    46,857.60/70,208.64 = 32,977.44/x
  3. Step 3: Cross multiply
    46,857.60x = 70,208.64 × 32,977.44
  4. Step 4: Simplify right side
    46,857.60x = 2,315,301,213.08
  5. Step 5: Solve for x
    x = 2,315,301,213.08/46,857.60
  6. Step 6: Final answer
    x = 49,411.43

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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.