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Finding the Fourth Proportional to 30,652.98, 45,968.13 and 10,927.86

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Solution

The fourth proportional to 30,652.98, 45,968.13 and 10,927.86 is: 16,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.98 : 45,968.13 = 10,927.86 : x
  2. Step 2: Convert to fraction form
    30,652.98/45,968.13 = 10,927.86/x
  3. Step 3: Cross multiply
    30,652.98x = 45,968.13 × 10,927.86
  4. Step 4: Simplify right side
    30,652.98x = 502,333,289.10
  5. Step 5: Solve for x
    x = 502,333,289.10/30,652.98
  6. Step 6: Final answer
    x = 16,387.75

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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.