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Finding the Fourth Proportional to 38,730.68, 53,441.80 and 22,818.30

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Solution

The fourth proportional to 38,730.68, 53,441.80 and 22,818.30 is: 31,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,730.68 : 53,441.80 = 22,818.30 : x
  2. Step 2: Convert to fraction form
    38,730.68/53,441.80 = 22,818.30/x
  3. Step 3: Cross multiply
    38,730.68x = 53,441.80 × 22,818.30
  4. Step 4: Simplify right side
    38,730.68x = 1,219,451,024.94
  5. Step 5: Solve for x
    x = 1,219,451,024.94/38,730.68
  6. Step 6: Final answer
    x = 31,485.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.