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Finding the Fourth Proportional to 46,689, 64,430.82 and 29,922

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Solution

The fourth proportional to 46,689, 64,430.82 and 29,922 is: 41,292.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,689 : 64,430.82 = 29,922 : x
  2. Step 2: Convert to fraction form
    46,689/64,430.82 = 29,922/x
  3. Step 3: Cross multiply
    46,689x = 64,430.82 × 29,922
  4. Step 4: Simplify right side
    46,689x = 1,927,898,996.04
  5. Step 5: Solve for x
    x = 1,927,898,996.04/46,689
  6. Step 6: Final answer
    x = 41,292.36

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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.