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Finding the Fourth Proportional to 30,304.74, 45,435.98 and 13,428.57

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Solution

The fourth proportional to 30,304.74, 45,435.98 and 13,428.57 is: 20,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304.74 : 45,435.98 = 13,428.57 : x
  2. Step 2: Convert to fraction form
    30,304.74/45,435.98 = 13,428.57/x
  3. Step 3: Cross multiply
    30,304.74x = 45,435.98 × 13,428.57
  4. Step 4: Simplify right side
    30,304.74x = 610,140,170.81
  5. Step 5: Solve for x
    x = 610,140,170.81/30,304.74
  6. Step 6: Final answer
    x = 20,133.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.