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Finding the Fourth Proportional to 30,292.38, 45,431.51 and 11,565.54

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Solution

The fourth proportional to 30,292.38, 45,431.51 and 11,565.54 is: 17,345.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.38 : 45,431.51 = 11,565.54 : x
  2. Step 2: Convert to fraction form
    30,292.38/45,431.51 = 11,565.54/x
  3. Step 3: Cross multiply
    30,292.38x = 45,431.51 × 11,565.54
  4. Step 4: Simplify right side
    30,292.38x = 525,439,888.34
  5. Step 5: Solve for x
    x = 525,439,888.34/30,292.38
  6. Step 6: Final answer
    x = 17,345.61

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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.