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Finding the Fourth Proportional to 46,700, 64,446 and 29,933

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Solution

The fourth proportional to 46,700, 64,446 and 29,933 is: 41,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,700 : 64,446 = 29,933 : x
  2. Step 2: Convert to fraction form
    46,700/64,446 = 29,933/x
  3. Step 3: Cross multiply
    46,700x = 64,446 × 29,933
  4. Step 4: Simplify right side
    46,700x = 1,929,062,118
  5. Step 5: Solve for x
    x = 1,929,062,118/46,700
  6. Step 6: Final answer
    x = 41,307.54

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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.