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Finding the Fourth Proportional to 36,539.28, 54,818.64 and 11,580

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Solution

The fourth proportional to 36,539.28, 54,818.64 and 11,580 is: 17,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,539.28 : 54,818.64 = 11,580 : x
  2. Step 2: Convert to fraction form
    36,539.28/54,818.64 = 11,580/x
  3. Step 3: Cross multiply
    36,539.28x = 54,818.64 × 11,580
  4. Step 4: Simplify right side
    36,539.28x = 634,799,851.20
  5. Step 5: Solve for x
    x = 634,799,851.20/36,539.28
  6. Step 6: Final answer
    x = 17,373.08

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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.