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Finding the Fourth Proportional to 30,009.95, 41,410.16 and 16,580.39

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Solution

The fourth proportional to 30,009.95, 41,410.16 and 16,580.39 is: 22,878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,009.95 : 41,410.16 = 16,580.39 : x
  2. Step 2: Convert to fraction form
    30,009.95/41,410.16 = 16,580.39/x
  3. Step 3: Cross multiply
    30,009.95x = 41,410.16 × 16,580.39
  4. Step 4: Simplify right side
    30,009.95x = 686,596,519.86
  5. Step 5: Solve for x
    x = 686,596,519.86/30,009.95
  6. Step 6: Final answer
    x = 22,878.96

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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.