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Finding the Fourth Proportional to 56,388.46, 77,824.36 and 32,510.46

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Solution

The fourth proportional to 56,388.46, 77,824.36 and 32,510.46 is: 44,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,388.46 : 77,824.36 = 32,510.46 : x
  2. Step 2: Convert to fraction form
    56,388.46/77,824.36 = 32,510.46/x
  3. Step 3: Cross multiply
    56,388.46x = 77,824.36 × 32,510.46
  4. Step 4: Simplify right side
    56,388.46x = 2,530,105,742.81
  5. Step 5: Solve for x
    x = 2,530,105,742.81/56,388.46
  6. Step 6: Final answer
    x = 44,869.21

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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.