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Finding the Fourth Proportional to 56,529.84, 84,822.24 and 23,259.84

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Solution

The fourth proportional to 56,529.84, 84,822.24 and 23,259.84 is: 34,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,529.84 : 84,822.24 = 23,259.84 : x
  2. Step 2: Convert to fraction form
    56,529.84/84,822.24 = 23,259.84/x
  3. Step 3: Cross multiply
    56,529.84x = 84,822.24 × 23,259.84
  4. Step 4: Simplify right side
    56,529.84x = 1,972,951,730.84
  5. Step 5: Solve for x
    x = 1,972,951,730.84/56,529.84
  6. Step 6: Final answer
    x = 34,901.07

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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.