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Finding the Fourth Proportional to 19,541.70, 29,312.14 and 4,750.70

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Solution

The fourth proportional to 19,541.70, 29,312.14 and 4,750.70 is: 7,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.70 : 29,312.14 = 4,750.70 : x
  2. Step 2: Convert to fraction form
    19,541.70/29,312.14 = 4,750.70/x
  3. Step 3: Cross multiply
    19,541.70x = 29,312.14 × 4,750.70
  4. Step 4: Simplify right side
    19,541.70x = 139,253,183.50
  5. Step 5: Solve for x
    x = 139,253,183.50/19,541.70
  6. Step 6: Final answer
    x = 7,125.95

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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.