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Finding the Fourth Proportional to 30,037.50, 45,059.90 and 9,261

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Solution

The fourth proportional to 30,037.50, 45,059.90 and 9,261 is: 13,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,037.50 : 45,059.90 = 9,261 : x
  2. Step 2: Convert to fraction form
    30,037.50/45,059.90 = 9,261/x
  3. Step 3: Cross multiply
    30,037.50x = 45,059.90 × 9,261
  4. Step 4: Simplify right side
    30,037.50x = 417,299,687.60
  5. Step 5: Solve for x
    x = 417,299,687.60/30,037.50
  6. Step 6: Final answer
    x = 13,892.62

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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.