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Finding the Fourth Proportional to 51,783.68, 71,454.72 and 29,427.20

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Solution

The fourth proportional to 51,783.68, 71,454.72 and 29,427.20 is: 40,605.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,783.68 : 71,454.72 = 29,427.20 : x
  2. Step 2: Convert to fraction form
    51,783.68/71,454.72 = 29,427.20/x
  3. Step 3: Cross multiply
    51,783.68x = 71,454.72 × 29,427.20
  4. Step 4: Simplify right side
    51,783.68x = 2,102,712,336.38
  5. Step 5: Solve for x
    x = 2,102,712,336.38/51,783.68
  6. Step 6: Final answer
    x = 40,605.70

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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.