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Finding the Fourth Proportional to 97,807.92, 134,975.34 and 55,374.62

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Solution

The fourth proportional to 97,807.92, 134,975.34 and 55,374.62 is: 76,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,807.92 : 134,975.34 = 55,374.62 : x
  2. Step 2: Convert to fraction form
    97,807.92/134,975.34 = 55,374.62/x
  3. Step 3: Cross multiply
    97,807.92x = 134,975.34 × 55,374.62
  4. Step 4: Simplify right side
    97,807.92x = 7,474,208,161.87
  5. Step 5: Solve for x
    x = 7,474,208,161.87/97,807.92
  6. Step 6: Final answer
    x = 76,417.21

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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.