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Finding the Fourth Proportional to 51,567.84, 77,298.84 and 29,333.88

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Solution

The fourth proportional to 51,567.84, 77,298.84 and 29,333.88 is: 43,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,567.84 : 77,298.84 = 29,333.88 : x
  2. Step 2: Convert to fraction form
    51,567.84/77,298.84 = 29,333.88/x
  3. Step 3: Cross multiply
    51,567.84x = 77,298.84 × 29,333.88
  4. Step 4: Simplify right side
    51,567.84x = 2,267,474,896.70
  5. Step 5: Solve for x
    x = 2,267,474,896.70/51,567.84
  6. Step 6: Final answer
    x = 43,970.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.