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Finding the Fourth Proportional to 37,953.38, 56,929.52 and 11,657.54

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Solution

The fourth proportional to 37,953.38, 56,929.52 and 11,657.54 is: 17,486.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,953.38 : 56,929.52 = 11,657.54 : x
  2. Step 2: Convert to fraction form
    37,953.38/56,929.52 = 11,657.54/x
  3. Step 3: Cross multiply
    37,953.38x = 56,929.52 × 11,657.54
  4. Step 4: Simplify right side
    37,953.38x = 663,658,156.58
  5. Step 5: Solve for x
    x = 663,658,156.58/37,953.38
  6. Step 6: Final answer
    x = 17,486.14

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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.