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Finding the Fourth Proportional to 19,491.57, 29,237.10 and 4,700.38

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Solution

The fourth proportional to 19,491.57, 29,237.10 and 4,700.38 is: 7,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,491.57 : 29,237.10 = 4,700.38 : x
  2. Step 2: Convert to fraction form
    19,491.57/29,237.10 = 4,700.38/x
  3. Step 3: Cross multiply
    19,491.57x = 29,237.10 × 4,700.38
  4. Step 4: Simplify right side
    19,491.57x = 137,425,407.01
  5. Step 5: Solve for x
    x = 137,425,407.01/19,491.57
  6. Step 6: Final answer
    x = 7,050.50

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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.