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Finding the Fourth Proportional to 30,281.60, 45,435 and 13,630.16

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Solution

The fourth proportional to 30,281.60, 45,435 and 13,630.16 is: 20,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,281.60 : 45,435 = 13,630.16 : x
  2. Step 2: Convert to fraction form
    30,281.60/45,435 = 13,630.16/x
  3. Step 3: Cross multiply
    30,281.60x = 45,435 × 13,630.16
  4. Step 4: Simplify right side
    30,281.60x = 619,286,319.60
  5. Step 5: Solve for x
    x = 619,286,319.60/30,281.60
  6. Step 6: Final answer
    x = 20,450.91

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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.