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Finding the Fourth Proportional to 31,002.60, 46,509.12 and 9,650.28

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Solution

The fourth proportional to 31,002.60, 46,509.12 and 9,650.28 is: 14,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,002.60 : 46,509.12 = 9,650.28 : x
  2. Step 2: Convert to fraction form
    31,002.60/46,509.12 = 9,650.28/x
  3. Step 3: Cross multiply
    31,002.60x = 46,509.12 × 9,650.28
  4. Step 4: Simplify right side
    31,002.60x = 448,826,030.55
  5. Step 5: Solve for x
    x = 448,826,030.55/31,002.60
  6. Step 6: Final answer
    x = 14,477.04

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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.