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Finding the Fourth Proportional to 76,547.68, 114,843.30 and 29,813.92

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Solution

The fourth proportional to 76,547.68, 114,843.30 and 29,813.92 is: 44,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547.68 : 114,843.30 = 29,813.92 : x
  2. Step 2: Convert to fraction form
    76,547.68/114,843.30 = 29,813.92/x
  3. Step 3: Cross multiply
    76,547.68x = 114,843.30 × 29,813.92
  4. Step 4: Simplify right side
    76,547.68x = 3,423,928,958.74
  5. Step 5: Solve for x
    x = 3,423,928,958.74/76,547.68
  6. Step 6: Final answer
    x = 44,729.36

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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.