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Finding the Fourth Proportional to 32,586.28, 49,123.61 and 30,416.28

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Solution

The fourth proportional to 32,586.28, 49,123.61 and 30,416.28 is: 45,852.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,586.28 : 49,123.61 = 30,416.28 : x
  2. Step 2: Convert to fraction form
    32,586.28/49,123.61 = 30,416.28/x
  3. Step 3: Cross multiply
    32,586.28x = 49,123.61 × 30,416.28
  4. Step 4: Simplify right side
    32,586.28x = 1,494,157,476.37
  5. Step 5: Solve for x
    x = 1,494,157,476.37/32,586.28
  6. Step 6: Final answer
    x = 45,852.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.