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Finding the Fourth Proportional to 77,032.82, 115,548.92 and 24,446.40

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Solution

The fourth proportional to 77,032.82, 115,548.92 and 24,446.40 is: 36,669.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,032.82 : 115,548.92 = 24,446.40 : x
  2. Step 2: Convert to fraction form
    77,032.82/115,548.92 = 24,446.40/x
  3. Step 3: Cross multiply
    77,032.82x = 115,548.92 × 24,446.40
  4. Step 4: Simplify right side
    77,032.82x = 2,824,755,117.89
  5. Step 5: Solve for x
    x = 2,824,755,117.89/77,032.82
  6. Step 6: Final answer
    x = 36,669.50

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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.