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Finding the Fourth Proportional to 30,160, 45,240 and 10,433.26

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Solution

The fourth proportional to 30,160, 45,240 and 10,433.26 is: 15,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160 : 45,240 = 10,433.26 : x
  2. Step 2: Convert to fraction form
    30,160/45,240 = 10,433.26/x
  3. Step 3: Cross multiply
    30,160x = 45,240 × 10,433.26
  4. Step 4: Simplify right side
    30,160x = 472,000,682.40
  5. Step 5: Solve for x
    x = 472,000,682.40/30,160
  6. Step 6: Final answer
    x = 15,649.89

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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.