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Finding the Fourth Proportional to 81,450.96, 112,409.48 and 47,457.68

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Solution

The fourth proportional to 81,450.96, 112,409.48 and 47,457.68 is: 65,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,450.96 : 112,409.48 = 47,457.68 : x
  2. Step 2: Convert to fraction form
    81,450.96/112,409.48 = 47,457.68/x
  3. Step 3: Cross multiply
    81,450.96x = 112,409.48 × 47,457.68
  4. Step 4: Simplify right side
    81,450.96x = 5,334,693,130.81
  5. Step 5: Solve for x
    x = 5,334,693,130.81/81,450.96
  6. Step 6: Final answer
    x = 65,495.77

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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.