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Finding the Fourth Proportional to 72,384.64, 108,590.61 and 27,419.46

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Solution

The fourth proportional to 72,384.64, 108,590.61 and 27,419.46 is: 41,134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,384.64 : 108,590.61 = 27,419.46 : x
  2. Step 2: Convert to fraction form
    72,384.64/108,590.61 = 27,419.46/x
  3. Step 3: Cross multiply
    72,384.64x = 108,590.61 × 27,419.46
  4. Step 4: Simplify right side
    72,384.64x = 2,977,495,887.27
  5. Step 5: Solve for x
    x = 2,977,495,887.27/72,384.64
  6. Step 6: Final answer
    x = 41,134.36

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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.