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Finding the Fourth Proportional to 46,457.43, 64,137.84 and 30,588

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Solution

The fourth proportional to 46,457.43, 64,137.84 and 30,588 is: 42,228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,457.43 : 64,137.84 = 30,588 : x
  2. Step 2: Convert to fraction form
    46,457.43/64,137.84 = 30,588/x
  3. Step 3: Cross multiply
    46,457.43x = 64,137.84 × 30,588
  4. Step 4: Simplify right side
    46,457.43x = 1,961,848,249.92
  5. Step 5: Solve for x
    x = 1,961,848,249.92/46,457.43
  6. Step 6: Final answer
    x = 42,228.94

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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.