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Finding the Fourth Proportional to 70,521.36, 97,322.10 and 41,855.88

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Solution

The fourth proportional to 70,521.36, 97,322.10 and 41,855.88 is: 57,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,521.36 : 97,322.10 = 41,855.88 : x
  2. Step 2: Convert to fraction form
    70,521.36/97,322.10 = 41,855.88/x
  3. Step 3: Cross multiply
    70,521.36x = 97,322.10 × 41,855.88
  4. Step 4: Simplify right side
    70,521.36x = 4,073,502,138.95
  5. Step 5: Solve for x
    x = 4,073,502,138.95/70,521.36
  6. Step 6: Final answer
    x = 57,762.67

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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.