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Finding the Fourth Proportional to 70,484.82, 105,739.07 and 34,947.90

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Solution

The fourth proportional to 70,484.82, 105,739.07 and 34,947.90 is: 52,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,484.82 : 105,739.07 = 34,947.90 : x
  2. Step 2: Convert to fraction form
    70,484.82/105,739.07 = 34,947.90/x
  3. Step 3: Cross multiply
    70,484.82x = 105,739.07 × 34,947.90
  4. Step 4: Simplify right side
    70,484.82x = 3,695,358,444.45
  5. Step 5: Solve for x
    x = 3,695,358,444.45/70,484.82
  6. Step 6: Final answer
    x = 52,427.72

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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.