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Finding the Fourth Proportional to 30,471.30, 45,712.68 and 13,832.50

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Solution

The fourth proportional to 30,471.30, 45,712.68 and 13,832.50 is: 20,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,471.30 : 45,712.68 = 13,832.50 : x
  2. Step 2: Convert to fraction form
    30,471.30/45,712.68 = 13,832.50/x
  3. Step 3: Cross multiply
    30,471.30x = 45,712.68 × 13,832.50
  4. Step 4: Simplify right side
    30,471.30x = 632,320,646.10
  5. Step 5: Solve for x
    x = 632,320,646.10/30,471.30
  6. Step 6: Final answer
    x = 20,751.35

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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.