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Finding the Fourth Proportional to 51,476.48, 77,226.06 and 29,300.30

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Solution

The fourth proportional to 51,476.48, 77,226.06 and 29,300.30 is: 43,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,476.48 : 77,226.06 = 29,300.30 : x
  2. Step 2: Convert to fraction form
    51,476.48/77,226.06 = 29,300.30/x
  3. Step 3: Cross multiply
    51,476.48x = 77,226.06 × 29,300.30
  4. Step 4: Simplify right side
    51,476.48x = 2,262,746,725.82
  5. Step 5: Solve for x
    x = 2,262,746,725.82/51,476.48
  6. Step 6: Final answer
    x = 43,956.90

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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.