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Finding the Fourth Proportional to 30,256.81, 45,386.22 and 10,266.11

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Solution

The fourth proportional to 30,256.81, 45,386.22 and 10,266.11 is: 15,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,256.81 : 45,386.22 = 10,266.11 : x
  2. Step 2: Convert to fraction form
    30,256.81/45,386.22 = 10,266.11/x
  3. Step 3: Cross multiply
    30,256.81x = 45,386.22 × 10,266.11
  4. Step 4: Simplify right side
    30,256.81x = 465,939,908.77
  5. Step 5: Solve for x
    x = 465,939,908.77/30,256.81
  6. Step 6: Final answer
    x = 15,399.51

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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.