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Finding the Fourth Proportional to 84,263.26, 116,283.99 and 46,538.14

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Solution

The fourth proportional to 84,263.26, 116,283.99 and 46,538.14 is: 64,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,263.26 : 116,283.99 = 46,538.14 : x
  2. Step 2: Convert to fraction form
    84,263.26/116,283.99 = 46,538.14/x
  3. Step 3: Cross multiply
    84,263.26x = 116,283.99 × 46,538.14
  4. Step 4: Simplify right side
    84,263.26x = 5,411,640,606.38
  5. Step 5: Solve for x
    x = 5,411,640,606.38/84,263.26
  6. Step 6: Final answer
    x = 64,223.01

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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.