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Finding the Fourth Proportional to 30,123.88, 45,192.96 and 10,402.60

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Solution

The fourth proportional to 30,123.88, 45,192.96 and 10,402.60 is: 15,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,123.88 : 45,192.96 = 10,402.60 : x
  2. Step 2: Convert to fraction form
    30,123.88/45,192.96 = 10,402.60/x
  3. Step 3: Cross multiply
    30,123.88x = 45,192.96 × 10,402.60
  4. Step 4: Simplify right side
    30,123.88x = 470,124,285.70
  5. Step 5: Solve for x
    x = 470,124,285.70/30,123.88
  6. Step 6: Final answer
    x = 15,606.37

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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.