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Finding the Fourth Proportional to 31,004.00, 46,501.01 and 8,509.42

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Solution

The fourth proportional to 31,004.00, 46,501.01 and 8,509.42 is: 12,762.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,004.00 : 46,501.01 = 8,509.42 : x
  2. Step 2: Convert to fraction form
    31,004.00/46,501.01 = 8,509.42/x
  3. Step 3: Cross multiply
    31,004.00x = 46,501.01 × 8,509.42
  4. Step 4: Simplify right side
    31,004.00x = 395,696,465.71
  5. Step 5: Solve for x
    x = 395,696,465.71/31,004.00
  6. Step 6: Final answer
    x = 12,762.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.