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Finding the Fourth Proportional to 37,649.34, 51,934.50 and 23,477.58

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Solution

The fourth proportional to 37,649.34, 51,934.50 and 23,477.58 is: 32,385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.34 : 51,934.50 = 23,477.58 : x
  2. Step 2: Convert to fraction form
    37,649.34/51,934.50 = 23,477.58/x
  3. Step 3: Cross multiply
    37,649.34x = 51,934.50 × 23,477.58
  4. Step 4: Simplify right side
    37,649.34x = 1,219,296,378.51
  5. Step 5: Solve for x
    x = 1,219,296,378.51/37,649.34
  6. Step 6: Final answer
    x = 32,385.60

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