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Finding the Fourth Proportional to 30,342.10, 45,533.64 and 10,620.82

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Solution

The fourth proportional to 30,342.10, 45,533.64 and 10,620.82 is: 15,938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.10 : 45,533.64 = 10,620.82 : x
  2. Step 2: Convert to fraction form
    30,342.10/45,533.64 = 10,620.82/x
  3. Step 3: Cross multiply
    30,342.10x = 45,533.64 × 10,620.82
  4. Step 4: Simplify right side
    30,342.10x = 483,604,594.38
  5. Step 5: Solve for x
    x = 483,604,594.38/30,342.10
  6. Step 6: Final answer
    x = 15,938.40

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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.