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Finding the Fourth Proportional to 30,177.37, 45,251.47 and 12,642.49

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Solution

The fourth proportional to 30,177.37, 45,251.47 and 12,642.49 is: 18,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.37 : 45,251.47 = 12,642.49 : x
  2. Step 2: Convert to fraction form
    30,177.37/45,251.47 = 12,642.49/x
  3. Step 3: Cross multiply
    30,177.37x = 45,251.47 × 12,642.49
  4. Step 4: Simplify right side
    30,177.37x = 572,090,967.49
  5. Step 5: Solve for x
    x = 572,090,967.49/30,177.37
  6. Step 6: Final answer
    x = 18,957.62

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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.