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Finding the Fourth Proportional to 30,810.86, 42,519 and 17,382.08

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Solution

The fourth proportional to 30,810.86, 42,519 and 17,382.08 is: 23,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.86 : 42,519 = 17,382.08 : x
  2. Step 2: Convert to fraction form
    30,810.86/42,519 = 17,382.08/x
  3. Step 3: Cross multiply
    30,810.86x = 42,519 × 17,382.08
  4. Step 4: Simplify right side
    30,810.86x = 739,068,659.52
  5. Step 5: Solve for x
    x = 739,068,659.52/30,810.86
  6. Step 6: Final answer
    x = 23,987.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.