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Finding the Fourth Proportional to 89,948, 134,928.54 and 34,544

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Solution

The fourth proportional to 89,948, 134,928.54 and 34,544 is: 51,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,948 : 134,928.54 = 34,544 : x
  2. Step 2: Convert to fraction form
    89,948/134,928.54 = 34,544/x
  3. Step 3: Cross multiply
    89,948x = 134,928.54 × 34,544
  4. Step 4: Simplify right side
    89,948x = 4,660,971,485.76
  5. Step 5: Solve for x
    x = 4,660,971,485.76/89,948
  6. Step 6: Final answer
    x = 51,818.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.