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Finding the Fourth Proportional to 84,196.02, 116,190.26 and 46,470

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Solution

The fourth proportional to 84,196.02, 116,190.26 and 46,470 is: 64,128.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,196.02 : 116,190.26 = 46,470 : x
  2. Step 2: Convert to fraction form
    84,196.02/116,190.26 = 46,470/x
  3. Step 3: Cross multiply
    84,196.02x = 116,190.26 × 46,470
  4. Step 4: Simplify right side
    84,196.02x = 5,399,361,382.20
  5. Step 5: Solve for x
    x = 5,399,361,382.20/84,196.02
  6. Step 6: Final answer
    x = 64,128.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.