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Finding the Fourth Proportional to 30,152.79, 45,232.67 and 11,446.79

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Solution

The fourth proportional to 30,152.79, 45,232.67 and 11,446.79 is: 17,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.79 : 45,232.67 = 11,446.79 : x
  2. Step 2: Convert to fraction form
    30,152.79/45,232.67 = 11,446.79/x
  3. Step 3: Cross multiply
    30,152.79x = 45,232.67 × 11,446.79
  4. Step 4: Simplify right side
    30,152.79x = 517,768,677.08
  5. Step 5: Solve for x
    x = 517,768,677.08/30,152.79
  6. Step 6: Final answer
    x = 17,171.50

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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.