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Finding the Fourth Proportional to 30,290.27, 45,432.16 and 10,569.20

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Solution

The fourth proportional to 30,290.27, 45,432.16 and 10,569.20 is: 15,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.27 : 45,432.16 = 10,569.20 : x
  2. Step 2: Convert to fraction form
    30,290.27/45,432.16 = 10,569.20/x
  3. Step 3: Cross multiply
    30,290.27x = 45,432.16 × 10,569.20
  4. Step 4: Simplify right side
    30,290.27x = 480,181,331.89
  5. Step 5: Solve for x
    x = 480,181,331.89/30,290.27
  6. Step 6: Final answer
    x = 15,852.66

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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.