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Finding the Fourth Proportional to 30,829.08, 46,242.90 and 17,671.80

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Solution

The fourth proportional to 30,829.08, 46,242.90 and 17,671.80 is: 26,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,829.08 : 46,242.90 = 17,671.80 : x
  2. Step 2: Convert to fraction form
    30,829.08/46,242.90 = 17,671.80/x
  3. Step 3: Cross multiply
    30,829.08x = 46,242.90 × 17,671.80
  4. Step 4: Simplify right side
    30,829.08x = 817,195,280.22
  5. Step 5: Solve for x
    x = 817,195,280.22/30,829.08
  6. Step 6: Final answer
    x = 26,507.29

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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.