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Finding the Fourth Proportional to 30,461.40, 42,176.70 and 28,906.20

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Solution

The fourth proportional to 30,461.40, 42,176.70 and 28,906.20 is: 40,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.40 : 42,176.70 = 28,906.20 : x
  2. Step 2: Convert to fraction form
    30,461.40/42,176.70 = 28,906.20/x
  3. Step 3: Cross multiply
    30,461.40x = 42,176.70 × 28,906.20
  4. Step 4: Simplify right side
    30,461.40x = 1,219,168,125.54
  5. Step 5: Solve for x
    x = 1,219,168,125.54/30,461.40
  6. Step 6: Final answer
    x = 40,023.38

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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.