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Finding the Fourth Proportional to 70,391, 97,147.68 and 40,180.64

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Solution

The fourth proportional to 70,391, 97,147.68 and 40,180.64 is: 55,453.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,391 : 97,147.68 = 40,180.64 : x
  2. Step 2: Convert to fraction form
    70,391/97,147.68 = 40,180.64/x
  3. Step 3: Cross multiply
    70,391x = 97,147.68 × 40,180.64
  4. Step 4: Simplify right side
    70,391x = 3,903,455,956.92
  5. Step 5: Solve for x
    x = 3,903,455,956.92/70,391
  6. Step 6: Final answer
    x = 55,453.91

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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.