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Finding the Fourth Proportional to 30,925.49, 46,412.82 and 11,209.68

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Solution

The fourth proportional to 30,925.49, 46,412.82 and 11,209.68 is: 16,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,925.49 : 46,412.82 = 11,209.68 : x
  2. Step 2: Convert to fraction form
    30,925.49/46,412.82 = 11,209.68/x
  3. Step 3: Cross multiply
    30,925.49x = 46,412.82 × 11,209.68
  4. Step 4: Simplify right side
    30,925.49x = 520,272,860.10
  5. Step 5: Solve for x
    x = 520,272,860.10/30,925.49
  6. Step 6: Final answer
    x = 16,823.43

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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.