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Finding the Fourth Proportional to 30,045.54, 45,082.38 and 13,403.82

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Solution

The fourth proportional to 30,045.54, 45,082.38 and 13,403.82 is: 20,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,045.54 : 45,082.38 = 13,403.82 : x
  2. Step 2: Convert to fraction form
    30,045.54/45,082.38 = 13,403.82/x
  3. Step 3: Cross multiply
    30,045.54x = 45,082.38 × 13,403.82
  4. Step 4: Simplify right side
    30,045.54x = 604,276,106.69
  5. Step 5: Solve for x
    x = 604,276,106.69/30,045.54
  6. Step 6: Final answer
    x = 20,112.01

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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.