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Finding the Fourth Proportional to 56,384.37, 77,813.46 and 32,512.05

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Solution

The fourth proportional to 56,384.37, 77,813.46 and 32,512.05 is: 44,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384.37 : 77,813.46 = 32,512.05 : x
  2. Step 2: Convert to fraction form
    56,384.37/77,813.46 = 32,512.05/x
  3. Step 3: Cross multiply
    56,384.37x = 77,813.46 × 32,512.05
  4. Step 4: Simplify right side
    56,384.37x = 2,529,875,102.19
  5. Step 5: Solve for x
    x = 2,529,875,102.19/56,384.37
  6. Step 6: Final answer
    x = 44,868.38

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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.