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Finding the Fourth Proportional to 70,378.10, 97,123.34 and 40,162.82

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Solution

The fourth proportional to 70,378.10, 97,123.34 and 40,162.82 is: 55,425.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,378.10 : 97,123.34 = 40,162.82 : x
  2. Step 2: Convert to fraction form
    70,378.10/97,123.34 = 40,162.82/x
  3. Step 3: Cross multiply
    70,378.10x = 97,123.34 × 40,162.82
  4. Step 4: Simplify right side
    70,378.10x = 3,900,746,837.01
  5. Step 5: Solve for x
    x = 3,900,746,837.01/70,378.10
  6. Step 6: Final answer
    x = 55,425.58

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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.