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Finding the Fourth Proportional to 84,376.84, 116,406.54 and 48,547.56

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Solution

The fourth proportional to 84,376.84, 116,406.54 and 48,547.56 is: 66,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,376.84 : 116,406.54 = 48,547.56 : x
  2. Step 2: Convert to fraction form
    84,376.84/116,406.54 = 48,547.56/x
  3. Step 3: Cross multiply
    84,376.84x = 116,406.54 × 48,547.56
  4. Step 4: Simplify right side
    84,376.84x = 5,651,253,485.04
  5. Step 5: Solve for x
    x = 5,651,253,485.04/84,376.84
  6. Step 6: Final answer
    x = 66,976.36

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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.