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Finding the Fourth Proportional to 30,518.16, 45,777 and 18,124.08

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Solution

The fourth proportional to 30,518.16, 45,777 and 18,124.08 is: 27,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,518.16 : 45,777 = 18,124.08 : x
  2. Step 2: Convert to fraction form
    30,518.16/45,777 = 18,124.08/x
  3. Step 3: Cross multiply
    30,518.16x = 45,777 × 18,124.08
  4. Step 4: Simplify right side
    30,518.16x = 829,666,010.16
  5. Step 5: Solve for x
    x = 829,666,010.16/30,518.16
  6. Step 6: Final answer
    x = 27,185.98

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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.