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Finding the Fourth Proportional to 74,216.62, 102,349.47 and 47,376.46

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Solution

The fourth proportional to 74,216.62, 102,349.47 and 47,376.46 is: 65,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,216.62 : 102,349.47 = 47,376.46 : x
  2. Step 2: Convert to fraction form
    74,216.62/102,349.47 = 47,376.46/x
  3. Step 3: Cross multiply
    74,216.62x = 102,349.47 × 47,376.46
  4. Step 4: Simplify right side
    74,216.62x = 4,848,955,571.48
  5. Step 5: Solve for x
    x = 4,848,955,571.48/74,216.62
  6. Step 6: Final answer
    x = 65,335.17

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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.