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Finding the Fourth Proportional to 58,626.83, 80,904.83 and 31,770

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Solution

The fourth proportional to 58,626.83, 80,904.83 and 31,770 is: 43,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,626.83 : 80,904.83 = 31,770 : x
  2. Step 2: Convert to fraction form
    58,626.83/80,904.83 = 31,770/x
  3. Step 3: Cross multiply
    58,626.83x = 80,904.83 × 31,770
  4. Step 4: Simplify right side
    58,626.83x = 2,570,346,290.25
  5. Step 5: Solve for x
    x = 2,570,346,290.25/58,626.83
  6. Step 6: Final answer
    x = 43,842.49

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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.