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Finding the Fourth Proportional to 30,502.60, 45,782.70 and 18,838.60

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Solution

The fourth proportional to 30,502.60, 45,782.70 and 18,838.60 is: 28,275.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.60 : 45,782.70 = 18,838.60 : x
  2. Step 2: Convert to fraction form
    30,502.60/45,782.70 = 18,838.60/x
  3. Step 3: Cross multiply
    30,502.60x = 45,782.70 × 18,838.60
  4. Step 4: Simplify right side
    30,502.60x = 862,481,972.22
  5. Step 5: Solve for x
    x = 862,481,972.22/30,502.60
  6. Step 6: Final answer
    x = 28,275.69

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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.