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Finding the Fourth Proportional to 30,278.95, 45,425.70 and 9,502.45

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Solution

The fourth proportional to 30,278.95, 45,425.70 and 9,502.45 is: 14,255.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.95 : 45,425.70 = 9,502.45 : x
  2. Step 2: Convert to fraction form
    30,278.95/45,425.70 = 9,502.45/x
  3. Step 3: Cross multiply
    30,278.95x = 45,425.70 × 9,502.45
  4. Step 4: Simplify right side
    30,278.95x = 431,655,442.97
  5. Step 5: Solve for x
    x = 431,655,442.97/30,278.95
  6. Step 6: Final answer
    x = 14,255.96

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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.