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Finding the Fourth Proportional to 84,466.80, 116,564.40 and 46,742.40

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Solution

The fourth proportional to 84,466.80, 116,564.40 and 46,742.40 is: 64,504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,466.80 : 116,564.40 = 46,742.40 : x
  2. Step 2: Convert to fraction form
    84,466.80/116,564.40 = 46,742.40/x
  3. Step 3: Cross multiply
    84,466.80x = 116,564.40 × 46,742.40
  4. Step 4: Simplify right side
    84,466.80x = 5,448,499,810.56
  5. Step 5: Solve for x
    x = 5,448,499,810.56/84,466.80
  6. Step 6: Final answer
    x = 64,504.63

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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.