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Finding the Fourth Proportional to 70,155.64, 105,094.68 and 36,825.76

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Solution

The fourth proportional to 70,155.64, 105,094.68 and 36,825.76 is: 55,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,155.64 : 105,094.68 = 36,825.76 : x
  2. Step 2: Convert to fraction form
    70,155.64/105,094.68 = 36,825.76/x
  3. Step 3: Cross multiply
    70,155.64x = 105,094.68 × 36,825.76
  4. Step 4: Simplify right side
    70,155.64x = 3,870,191,462.96
  5. Step 5: Solve for x
    x = 3,870,191,462.96/70,155.64
  6. Step 6: Final answer
    x = 55,165.79

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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.