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Finding the Fourth Proportional to 104,423.54, 144,038.94 and 61,952

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Solution

The fourth proportional to 104,423.54, 144,038.94 and 61,952 is: 85,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,423.54 : 144,038.94 = 61,952 : x
  2. Step 2: Convert to fraction form
    104,423.54/144,038.94 = 61,952/x
  3. Step 3: Cross multiply
    104,423.54x = 144,038.94 × 61,952
  4. Step 4: Simplify right side
    104,423.54x = 8,923,500,410.88
  5. Step 5: Solve for x
    x = 8,923,500,410.88/104,423.54
  6. Step 6: Final answer
    x = 85,454.87

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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.