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Finding the Fourth Proportional to 30,256.95, 45,385.75 and 9,200.42

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Solution

The fourth proportional to 30,256.95, 45,385.75 and 9,200.42 is: 13,800.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.95 : 45,385.75 = 9,200.42 : x
  2. Step 2: Convert to fraction form
    30,256.95/45,385.75 = 9,200.42/x
  3. Step 3: Cross multiply
    30,256.95x = 45,385.75 × 9,200.42
  4. Step 4: Simplify right side
    30,256.95x = 417,567,712.09
  5. Step 5: Solve for x
    x = 417,567,712.09/30,256.95
  6. Step 6: Final answer
    x = 13,800.72

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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.