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Finding the Fourth Proportional to 84,365.18, 116,419.38 and 46,637

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Solution

The fourth proportional to 84,365.18, 116,419.38 and 46,637 is: 64,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,365.18 : 116,419.38 = 46,637 : x
  2. Step 2: Convert to fraction form
    84,365.18/116,419.38 = 46,637/x
  3. Step 3: Cross multiply
    84,365.18x = 116,419.38 × 46,637
  4. Step 4: Simplify right side
    84,365.18x = 5,429,450,625.06
  5. Step 5: Solve for x
    x = 5,429,450,625.06/84,365.18
  6. Step 6: Final answer
    x = 64,356.53

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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.