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Finding the Fourth Proportional to 86,551.57, 119,443.31 and 48,828.25

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Solution

The fourth proportional to 86,551.57, 119,443.31 and 48,828.25 is: 67,384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,551.57 : 119,443.31 = 48,828.25 : x
  2. Step 2: Convert to fraction form
    86,551.57/119,443.31 = 48,828.25/x
  3. Step 3: Cross multiply
    86,551.57x = 119,443.31 × 48,828.25
  4. Step 4: Simplify right side
    86,551.57x = 5,832,207,801.51
  5. Step 5: Solve for x
    x = 5,832,207,801.51/86,551.57
  6. Step 6: Final answer
    x = 67,384.19

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Why These Related Problems?

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