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Finding the Fourth Proportional to 70,657.44, 97,506.96 and 40,442.64

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Solution

The fourth proportional to 70,657.44, 97,506.96 and 40,442.64 is: 55,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.44 : 97,506.96 = 40,442.64 : x
  2. Step 2: Convert to fraction form
    70,657.44/97,506.96 = 40,442.64/x
  3. Step 3: Cross multiply
    70,657.44x = 97,506.96 × 40,442.64
  4. Step 4: Simplify right side
    70,657.44x = 3,943,438,880.77
  5. Step 5: Solve for x
    x = 3,943,438,880.77/70,657.44
  6. Step 6: Final answer
    x = 55,810.67

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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.