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Finding the Fourth Proportional to 31,004.07, 46,501.14 and 8,509.50

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Solution

The fourth proportional to 31,004.07, 46,501.14 and 8,509.50 is: 12,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.07 : 46,501.14 = 8,509.50 : x
  2. Step 2: Convert to fraction form
    31,004.07/46,501.14 = 8,509.50/x
  3. Step 3: Cross multiply
    31,004.07x = 46,501.14 × 8,509.50
  4. Step 4: Simplify right side
    31,004.07x = 395,701,450.83
  5. Step 5: Solve for x
    x = 395,701,450.83/31,004.07
  6. Step 6: Final answer
    x = 12,762.89

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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.