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Finding the Fourth Proportional to 30,154.31, 45,235.58 and 10,427.57

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Solution

The fourth proportional to 30,154.31, 45,235.58 and 10,427.57 is: 15,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154.31 : 45,235.58 = 10,427.57 : x
  2. Step 2: Convert to fraction form
    30,154.31/45,235.58 = 10,427.57/x
  3. Step 3: Cross multiply
    30,154.31x = 45,235.58 × 10,427.57
  4. Step 4: Simplify right side
    30,154.31x = 471,697,176.94
  5. Step 5: Solve for x
    x = 471,697,176.94/30,154.31
  6. Step 6: Final answer
    x = 15,642.78

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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.