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Finding the Fourth Proportional to 81,536.14, 122,302.59 and 46,400.50

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Solution

The fourth proportional to 81,536.14, 122,302.59 and 46,400.50 is: 69,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,536.14 : 122,302.59 = 46,400.50 : x
  2. Step 2: Convert to fraction form
    81,536.14/122,302.59 = 46,400.50/x
  3. Step 3: Cross multiply
    81,536.14x = 122,302.59 × 46,400.50
  4. Step 4: Simplify right side
    81,536.14x = 5,674,901,327.30
  5. Step 5: Solve for x
    x = 5,674,901,327.30/81,536.14
  6. Step 6: Final answer
    x = 69,599.83

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