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Finding the Fourth Proportional to 77,501.84, 106,945.16 and 43,502.54

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Solution

The fourth proportional to 77,501.84, 106,945.16 and 43,502.54 is: 60,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,501.84 : 106,945.16 = 43,502.54 : x
  2. Step 2: Convert to fraction form
    77,501.84/106,945.16 = 43,502.54/x
  3. Step 3: Cross multiply
    77,501.84x = 106,945.16 × 43,502.54
  4. Step 4: Simplify right side
    77,501.84x = 4,652,385,348.47
  5. Step 5: Solve for x
    x = 4,652,385,348.47/77,501.84
  6. Step 6: Final answer
    x = 60,029.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.