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Finding the Fourth Proportional to 84,033.38, 115,966.06 and 46,307.63

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Solution

The fourth proportional to 84,033.38, 115,966.06 and 46,307.63 is: 63,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,033.38 : 115,966.06 = 46,307.63 : x
  2. Step 2: Convert to fraction form
    84,033.38/115,966.06 = 46,307.63/x
  3. Step 3: Cross multiply
    84,033.38x = 115,966.06 × 46,307.63
  4. Step 4: Simplify right side
    84,033.38x = 5,370,112,703.44
  5. Step 5: Solve for x
    x = 5,370,112,703.44/84,033.38
  6. Step 6: Final answer
    x = 63,904.52

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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.