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Finding the Fourth Proportional to 102,947.40, 154,421.10 and 36,462.60

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Solution

The fourth proportional to 102,947.40, 154,421.10 and 36,462.60 is: 54,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,947.40 : 154,421.10 = 36,462.60 : x
  2. Step 2: Convert to fraction form
    102,947.40/154,421.10 = 36,462.60/x
  3. Step 3: Cross multiply
    102,947.40x = 154,421.10 × 36,462.60
  4. Step 4: Simplify right side
    102,947.40x = 5,630,594,800.86
  5. Step 5: Solve for x
    x = 5,630,594,800.86/102,947.40
  6. Step 6: Final answer
    x = 54,693.90

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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.