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Finding the Fourth Proportional to 28,142.40, 38,910.72 and 24,643.20

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Solution

The fourth proportional to 28,142.40, 38,910.72 and 24,643.20 is: 34,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.40 : 38,910.72 = 24,643.20 : x
  2. Step 2: Convert to fraction form
    28,142.40/38,910.72 = 24,643.20/x
  3. Step 3: Cross multiply
    28,142.40x = 38,910.72 × 24,643.20
  4. Step 4: Simplify right side
    28,142.40x = 958,884,655.10
  5. Step 5: Solve for x
    x = 958,884,655.10/28,142.40
  6. Step 6: Final answer
    x = 34,072.60

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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.