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Finding the Fourth Proportional to 30,516.53, 45,776.01 and 9,458.76

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Solution

The fourth proportional to 30,516.53, 45,776.01 and 9,458.76 is: 14,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516.53 : 45,776.01 = 9,458.76 : x
  2. Step 2: Convert to fraction form
    30,516.53/45,776.01 = 9,458.76/x
  3. Step 3: Cross multiply
    30,516.53x = 45,776.01 × 9,458.76
  4. Step 4: Simplify right side
    30,516.53x = 432,984,292.35
  5. Step 5: Solve for x
    x = 432,984,292.35/30,516.53
  6. Step 6: Final answer
    x = 14,188.52

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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.