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Finding the Fourth Proportional to 57,698.92, 86,548.38 and 46,085.95

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Solution

The fourth proportional to 57,698.92, 86,548.38 and 46,085.95 is: 69,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698.92 : 86,548.38 = 46,085.95 : x
  2. Step 2: Convert to fraction form
    57,698.92/86,548.38 = 46,085.95/x
  3. Step 3: Cross multiply
    57,698.92x = 86,548.38 × 46,085.95
  4. Step 4: Simplify right side
    57,698.92x = 3,988,664,313.26
  5. Step 5: Solve for x
    x = 3,988,664,313.26/57,698.92
  6. Step 6: Final answer
    x = 69,128.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.