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Finding the Fourth Proportional to 38,709.64, 53,406.70 and 22,573.30

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Solution

The fourth proportional to 38,709.64, 53,406.70 and 22,573.30 is: 31,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.64 : 53,406.70 = 22,573.30 : x
  2. Step 2: Convert to fraction form
    38,709.64/53,406.70 = 22,573.30/x
  3. Step 3: Cross multiply
    38,709.64x = 53,406.70 × 22,573.30
  4. Step 4: Simplify right side
    38,709.64x = 1,205,565,461.11
  5. Step 5: Solve for x
    x = 1,205,565,461.11/38,709.64
  6. Step 6: Final answer
    x = 31,143.80

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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.