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Finding the Fourth Proportional to 44,160, 60,940.80 and 24,288

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Solution

The fourth proportional to 44,160, 60,940.80 and 24,288 is: 33,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,160 : 60,940.80 = 24,288 : x
  2. Step 2: Convert to fraction form
    44,160/60,940.80 = 24,288/x
  3. Step 3: Cross multiply
    44,160x = 60,940.80 × 24,288
  4. Step 4: Simplify right side
    44,160x = 1,480,130,150.40
  5. Step 5: Solve for x
    x = 1,480,130,150.40/44,160
  6. Step 6: Final answer
    x = 33,517.44

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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.