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Finding the Fourth Proportional to 30,035.96, 41,448.98 and 16,607.78

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Solution

The fourth proportional to 30,035.96, 41,448.98 and 16,607.78 is: 22,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035.96 : 41,448.98 = 16,607.78 : x
  2. Step 2: Convert to fraction form
    30,035.96/41,448.98 = 16,607.78/x
  3. Step 3: Cross multiply
    30,035.96x = 41,448.98 × 16,607.78
  4. Step 4: Simplify right side
    30,035.96x = 688,375,541.06
  5. Step 5: Solve for x
    x = 688,375,541.06/30,035.96
  6. Step 6: Final answer
    x = 22,918.38

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Why These Related Problems?

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