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Finding the Fourth Proportional to 46,845.44, 64,661.76 and 30,944

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Solution

The fourth proportional to 46,845.44, 64,661.76 and 30,944 is: 42,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,845.44 : 64,661.76 = 30,944 : x
  2. Step 2: Convert to fraction form
    46,845.44/64,661.76 = 30,944/x
  3. Step 3: Cross multiply
    46,845.44x = 64,661.76 × 30,944
  4. Step 4: Simplify right side
    46,845.44x = 2,000,893,501.44
  5. Step 5: Solve for x
    x = 2,000,893,501.44/46,845.44
  6. Step 6: Final answer
    x = 42,712.66

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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.