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Finding the Fourth Proportional to 56,364, 77,782.16 and 32,490.48

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Solution

The fourth proportional to 56,364, 77,782.16 and 32,490.48 is: 44,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,364 : 77,782.16 = 32,490.48 : x
  2. Step 2: Convert to fraction form
    56,364/77,782.16 = 32,490.48/x
  3. Step 3: Cross multiply
    56,364x = 77,782.16 × 32,490.48
  4. Step 4: Simplify right side
    56,364x = 2,527,179,713.84
  5. Step 5: Solve for x
    x = 2,527,179,713.84/56,364
  6. Step 6: Final answer
    x = 44,836.77

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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.