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Finding the Fourth Proportional to 30,527.60, 45,777.10 and 11,816.48

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Solution

The fourth proportional to 30,527.60, 45,777.10 and 11,816.48 is: 17,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,527.60 : 45,777.10 = 11,816.48 : x
  2. Step 2: Convert to fraction form
    30,527.60/45,777.10 = 11,816.48/x
  3. Step 3: Cross multiply
    30,527.60x = 45,777.10 × 11,816.48
  4. Step 4: Simplify right side
    30,527.60x = 540,924,186.61
  5. Step 5: Solve for x
    x = 540,924,186.61/30,527.60
  6. Step 6: Final answer
    x = 17,719.18

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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.