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Finding the Fourth Proportional to 27,505, 37,957.60 and 14,929.72

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Solution

The fourth proportional to 27,505, 37,957.60 and 14,929.72 is: 20,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,505 : 37,957.60 = 14,929.72 : x
  2. Step 2: Convert to fraction form
    27,505/37,957.60 = 14,929.72/x
  3. Step 3: Cross multiply
    27,505x = 37,957.60 × 14,929.72
  4. Step 4: Simplify right side
    27,505x = 566,696,339.87
  5. Step 5: Solve for x
    x = 566,696,339.87/27,505
  6. Step 6: Final answer
    x = 20,603.39

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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.