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Finding the Fourth Proportional to 81,653.67, 122,503.19 and 46,617.93

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Solution

The fourth proportional to 81,653.67, 122,503.19 and 46,617.93 is: 69,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653.67 : 122,503.19 = 46,617.93 : x
  2. Step 2: Convert to fraction form
    81,653.67/122,503.19 = 46,617.93/x
  3. Step 3: Cross multiply
    81,653.67x = 122,503.19 × 46,617.93
  4. Step 4: Simplify right side
    81,653.67x = 5,710,844,903.11
  5. Step 5: Solve for x
    x = 5,710,844,903.11/81,653.67
  6. Step 6: Final answer
    x = 69,939.84

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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.