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Finding the Fourth Proportional to 30,671.80, 46,007.63 and 9,613.46

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Solution

The fourth proportional to 30,671.80, 46,007.63 and 9,613.46 is: 14,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,671.80 : 46,007.63 = 9,613.46 : x
  2. Step 2: Convert to fraction form
    30,671.80/46,007.63 = 9,613.46/x
  3. Step 3: Cross multiply
    30,671.80x = 46,007.63 × 9,613.46
  4. Step 4: Simplify right side
    30,671.80x = 442,292,304.70
  5. Step 5: Solve for x
    x = 442,292,304.70/30,671.80
  6. Step 6: Final answer
    x = 14,420.16

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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.