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Finding the Fourth Proportional to 71,057.84, 106,597.69 and 23,656.67

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Solution

The fourth proportional to 71,057.84, 106,597.69 and 23,656.67 is: 35,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,057.84 : 106,597.69 = 23,656.67 : x
  2. Step 2: Convert to fraction form
    71,057.84/106,597.69 = 23,656.67/x
  3. Step 3: Cross multiply
    71,057.84x = 106,597.69 × 23,656.67
  4. Step 4: Simplify right side
    71,057.84x = 2,521,746,182.70
  5. Step 5: Solve for x
    x = 2,521,746,182.70/71,057.84
  6. Step 6: Final answer
    x = 35,488.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.