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Finding the Fourth Proportional to 76,547.43, 114,777 and 29,745.63

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Solution

The fourth proportional to 76,547.43, 114,777 and 29,745.63 is: 44,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,547.43 : 114,777 = 29,745.63 : x
  2. Step 2: Convert to fraction form
    76,547.43/114,777 = 29,745.63/x
  3. Step 3: Cross multiply
    76,547.43x = 114,777 × 29,745.63
  4. Step 4: Simplify right side
    76,547.43x = 3,414,114,174.51
  5. Step 5: Solve for x
    x = 3,414,114,174.51/76,547.43
  6. Step 6: Final answer
    x = 44,601.29

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1.5x scale

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.