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Finding the Fourth Proportional to 97,015.16, 133,880.41 and 54,574

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Solution

The fourth proportional to 97,015.16, 133,880.41 and 54,574 is: 75,311.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,015.16 : 133,880.41 = 54,574 : x
  2. Step 2: Convert to fraction form
    97,015.16/133,880.41 = 54,574/x
  3. Step 3: Cross multiply
    97,015.16x = 133,880.41 × 54,574
  4. Step 4: Simplify right side
    97,015.16x = 7,306,389,495.34
  5. Step 5: Solve for x
    x = 7,306,389,495.34/97,015.16
  6. Step 6: Final answer
    x = 75,311.83

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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.