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Finding the Fourth Proportional to 53,051.67, 73,210.94 and 30,085.83

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Solution

The fourth proportional to 53,051.67, 73,210.94 and 30,085.83 is: 41,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,051.67 : 73,210.94 = 30,085.83 : x
  2. Step 2: Convert to fraction form
    53,051.67/73,210.94 = 30,085.83/x
  3. Step 3: Cross multiply
    53,051.67x = 73,210.94 × 30,085.83
  4. Step 4: Simplify right side
    53,051.67x = 2,202,611,894.98
  5. Step 5: Solve for x
    x = 2,202,611,894.98/53,051.67
  6. Step 6: Final answer
    x = 41,518.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.