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Finding the Fourth Proportional to 30,433.95, 45,654.57 and 12,901.50

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Solution

The fourth proportional to 30,433.95, 45,654.57 and 12,901.50 is: 19,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.95 : 45,654.57 = 12,901.50 : x
  2. Step 2: Convert to fraction form
    30,433.95/45,654.57 = 12,901.50/x
  3. Step 3: Cross multiply
    30,433.95x = 45,654.57 × 12,901.50
  4. Step 4: Simplify right side
    30,433.95x = 589,012,434.86
  5. Step 5: Solve for x
    x = 589,012,434.86/30,433.95
  6. Step 6: Final answer
    x = 19,353.80

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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.