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Finding the Fourth Proportional to 97,768.27, 134,920.25 and 53,056.27

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Solution

The fourth proportional to 97,768.27, 134,920.25 and 53,056.27 is: 73,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,768.27 : 134,920.25 = 53,056.27 : x
  2. Step 2: Convert to fraction form
    97,768.27/134,920.25 = 53,056.27/x
  3. Step 3: Cross multiply
    97,768.27x = 134,920.25 × 53,056.27
  4. Step 4: Simplify right side
    97,768.27x = 7,158,365,212.47
  5. Step 5: Solve for x
    x = 7,158,365,212.47/97,768.27
  6. Step 6: Final answer
    x = 73,217.67

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1.5x scale

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.