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Finding the Fourth Proportional to 76,903.44, 115,354.43 and 24,312.93

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Solution

The fourth proportional to 76,903.44, 115,354.43 and 24,312.93 is: 36,469.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,903.44 : 115,354.43 = 24,312.93 : x
  2. Step 2: Convert to fraction form
    76,903.44/115,354.43 = 24,312.93/x
  3. Step 3: Cross multiply
    76,903.44x = 115,354.43 × 24,312.93
  4. Step 4: Simplify right side
    76,903.44x = 2,804,603,605.01
  5. Step 5: Solve for x
    x = 2,804,603,605.01/76,903.44
  6. Step 6: Final answer
    x = 36,469.16

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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.