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Finding the Fourth Proportional to 32,707, 45,141.54 and 19,277.46

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Solution

The fourth proportional to 32,707, 45,141.54 and 19,277.46 is: 26,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,707 : 45,141.54 = 19,277.46 : x
  2. Step 2: Convert to fraction form
    32,707/45,141.54 = 19,277.46/x
  3. Step 3: Cross multiply
    32,707x = 45,141.54 × 19,277.46
  4. Step 4: Simplify right side
    32,707x = 870,214,231.69
  5. Step 5: Solve for x
    x = 870,214,231.69/32,707
  6. Step 6: Final answer
    x = 26,606.36

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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.