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Finding the Fourth Proportional to 30,342.40, 45,502.80 and 13,710.40

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Solution

The fourth proportional to 30,342.40, 45,502.80 and 13,710.40 is: 20,560.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.40 : 45,502.80 = 13,710.40 : x
  2. Step 2: Convert to fraction form
    30,342.40/45,502.80 = 13,710.40/x
  3. Step 3: Cross multiply
    30,342.40x = 45,502.80 × 13,710.40
  4. Step 4: Simplify right side
    30,342.40x = 623,861,589.12
  5. Step 5: Solve for x
    x = 623,861,589.12/30,342.40
  6. Step 6: Final answer
    x = 20,560.72

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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.