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Finding the Fourth Proportional to 31,204.08, 46,809 and 10,430.64

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Solution

The fourth proportional to 31,204.08, 46,809 and 10,430.64 is: 15,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.08 : 46,809 = 10,430.64 : x
  2. Step 2: Convert to fraction form
    31,204.08/46,809 = 10,430.64/x
  3. Step 3: Cross multiply
    31,204.08x = 46,809 × 10,430.64
  4. Step 4: Simplify right side
    31,204.08x = 488,247,827.76
  5. Step 5: Solve for x
    x = 488,247,827.76/31,204.08
  6. Step 6: Final answer
    x = 15,646.92

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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.