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Finding the Fourth Proportional to 84,364, 116,424.24 and 54,607.84

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Solution

The fourth proportional to 84,364, 116,424.24 and 54,607.84 is: 75,360.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,364 : 116,424.24 = 54,607.84 : x
  2. Step 2: Convert to fraction form
    84,364/116,424.24 = 54,607.84/x
  3. Step 3: Cross multiply
    84,364x = 116,424.24 × 54,607.84
  4. Step 4: Simplify right side
    84,364x = 6,357,676,270.04
  5. Step 5: Solve for x
    x = 6,357,676,270.04/84,364
  6. Step 6: Final answer
    x = 75,360.06

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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.