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Finding the Fourth Proportional to 75,564.80, 104,238 and 46,874.54

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Solution

The fourth proportional to 75,564.80, 104,238 and 46,874.54 is: 64,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,564.80 : 104,238 = 46,874.54 : x
  2. Step 2: Convert to fraction form
    75,564.80/104,238 = 46,874.54/x
  3. Step 3: Cross multiply
    75,564.80x = 104,238 × 46,874.54
  4. Step 4: Simplify right side
    75,564.80x = 4,886,108,300.52
  5. Step 5: Solve for x
    x = 4,886,108,300.52/75,564.80
  6. Step 6: Final answer
    x = 64,661.17

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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.