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Finding the Fourth Proportional to 30,256.70, 45,385.37 and 9,200.17

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Solution

The fourth proportional to 30,256.70, 45,385.37 and 9,200.17 is: 13,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.70 : 45,385.37 = 9,200.17 : x
  2. Step 2: Convert to fraction form
    30,256.70/45,385.37 = 9,200.17/x
  3. Step 3: Cross multiply
    30,256.70x = 45,385.37 × 9,200.17
  4. Step 4: Simplify right side
    30,256.70x = 417,552,892.59
  5. Step 5: Solve for x
    x = 417,552,892.59/30,256.70
  6. Step 6: Final answer
    x = 13,800.35

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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.