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Finding the Fourth Proportional to 70,983.40, 97,956.88 and 40,770.67

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Solution

The fourth proportional to 70,983.40, 97,956.88 and 40,770.67 is: 56,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,983.40 : 97,956.88 = 40,770.67 : x
  2. Step 2: Convert to fraction form
    70,983.40/97,956.88 = 40,770.67/x
  3. Step 3: Cross multiply
    70,983.40x = 97,956.88 × 40,770.67
  4. Step 4: Simplify right side
    70,983.40x = 3,993,767,628.71
  5. Step 5: Solve for x
    x = 3,993,767,628.71/70,983.40
  6. Step 6: Final answer
    x = 56,263.40

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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.