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Finding the Fourth Proportional to 75,078.93, 103,640.81 and 46,798.59

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Solution

The fourth proportional to 75,078.93, 103,640.81 and 46,798.59 is: 64,601.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,078.93 : 103,640.81 = 46,798.59 : x
  2. Step 2: Convert to fraction form
    75,078.93/103,640.81 = 46,798.59/x
  3. Step 3: Cross multiply
    75,078.93x = 103,640.81 × 46,798.59
  4. Step 4: Simplify right side
    75,078.93x = 4,850,243,774.46
  5. Step 5: Solve for x
    x = 4,850,243,774.46/75,078.93
  6. Step 6: Final answer
    x = 64,601.93

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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.