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Finding the Fourth Proportional to 70,591.38, 97,408.93 and 42,296.34

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Solution

The fourth proportional to 70,591.38, 97,408.93 and 42,296.34 is: 58,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,591.38 : 97,408.93 = 42,296.34 : x
  2. Step 2: Convert to fraction form
    70,591.38/97,408.93 = 42,296.34/x
  3. Step 3: Cross multiply
    70,591.38x = 97,408.93 × 42,296.34
  4. Step 4: Simplify right side
    70,591.38x = 4,120,041,222.32
  5. Step 5: Solve for x
    x = 4,120,041,222.32/70,591.38
  6. Step 6: Final answer
    x = 58,364.65

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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.