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Finding the Fourth Proportional to 86,804.49, 130,217.15 and 30,633

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Solution

The fourth proportional to 86,804.49, 130,217.15 and 30,633 is: 45,953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,804.49 : 130,217.15 = 30,633 : x
  2. Step 2: Convert to fraction form
    86,804.49/130,217.15 = 30,633/x
  3. Step 3: Cross multiply
    86,804.49x = 130,217.15 × 30,633
  4. Step 4: Simplify right side
    86,804.49x = 3,988,942,032.53
  5. Step 5: Solve for x
    x = 3,988,942,032.53/86,804.49
  6. Step 6: Final answer
    x = 45,953.18

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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.