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Finding the Fourth Proportional to 84,562.80, 116,696.64 and 46,837.20

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Solution

The fourth proportional to 84,562.80, 116,696.64 and 46,837.20 is: 64,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,562.80 : 116,696.64 = 46,837.20 : x
  2. Step 2: Convert to fraction form
    84,562.80/116,696.64 = 46,837.20/x
  3. Step 3: Cross multiply
    84,562.80x = 116,696.64 × 46,837.20
  4. Step 4: Simplify right side
    84,562.80x = 5,465,743,867.01
  5. Step 5: Solve for x
    x = 5,465,743,867.01/84,562.80
  6. Step 6: Final answer
    x = 64,635.32

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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.