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Finding the Fourth Proportional to 46,289.91, 69,420.54 and 16,704

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Solution

The fourth proportional to 46,289.91, 69,420.54 and 16,704 is: 25,050.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289.91 : 69,420.54 = 16,704 : x
  2. Step 2: Convert to fraction form
    46,289.91/69,420.54 = 16,704/x
  3. Step 3: Cross multiply
    46,289.91x = 69,420.54 × 16,704
  4. Step 4: Simplify right side
    46,289.91x = 1,159,600,700.16
  5. Step 5: Solve for x
    x = 1,159,600,700.16/46,289.91
  6. Step 6: Final answer
    x = 25,050.83

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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.