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Finding the Fourth Proportional to 84,362.10, 126,500.16 and 28,182.02

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Solution

The fourth proportional to 84,362.10, 126,500.16 and 28,182.02 is: 42,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,362.10 : 126,500.16 = 28,182.02 : x
  2. Step 2: Convert to fraction form
    84,362.10/126,500.16 = 28,182.02/x
  3. Step 3: Cross multiply
    84,362.10x = 126,500.16 × 28,182.02
  4. Step 4: Simplify right side
    84,362.10x = 3,565,030,039.12
  5. Step 5: Solve for x
    x = 3,565,030,039.12/84,362.10
  6. Step 6: Final answer
    x = 42,258.67

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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.