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Finding the Fourth Proportional to 70,407.30, 97,137.72 and 40,170.78

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Solution

The fourth proportional to 70,407.30, 97,137.72 and 40,170.78 is: 55,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,407.30 : 97,137.72 = 40,170.78 : x
  2. Step 2: Convert to fraction form
    70,407.30/97,137.72 = 40,170.78/x
  3. Step 3: Cross multiply
    70,407.30x = 97,137.72 × 40,170.78
  4. Step 4: Simplify right side
    70,407.30x = 3,902,097,979.82
  5. Step 5: Solve for x
    x = 3,902,097,979.82/70,407.30
  6. Step 6: Final answer
    x = 55,421.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.