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Finding the Fourth Proportional to 30,496.41, 45,733.24 and 10,500.25

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Solution

The fourth proportional to 30,496.41, 45,733.24 and 10,500.25 is: 15,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.41 : 45,733.24 = 10,500.25 : x
  2. Step 2: Convert to fraction form
    30,496.41/45,733.24 = 10,500.25/x
  3. Step 3: Cross multiply
    30,496.41x = 45,733.24 × 10,500.25
  4. Step 4: Simplify right side
    30,496.41x = 480,210,453.31
  5. Step 5: Solve for x
    x = 480,210,453.31/30,496.41
  6. Step 6: Final answer
    x = 15,746.46

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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.