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Finding the Fourth Proportional to 37,649.76, 56,479.54 and 11,357.16

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Solution

The fourth proportional to 37,649.76, 56,479.54 and 11,357.16 is: 17,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,649.76 : 56,479.54 = 11,357.16 : x
  2. Step 2: Convert to fraction form
    37,649.76/56,479.54 = 11,357.16/x
  3. Step 3: Cross multiply
    37,649.76x = 56,479.54 × 11,357.16
  4. Step 4: Simplify right side
    37,649.76x = 641,447,172.51
  5. Step 5: Solve for x
    x = 641,447,172.51/37,649.76
  6. Step 6: Final answer
    x = 17,037.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.