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Finding the Fourth Proportional to 57,582.28, 86,373.42 and 32,941

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Solution

The fourth proportional to 57,582.28, 86,373.42 and 32,941 is: 49,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,582.28 : 86,373.42 = 32,941 : x
  2. Step 2: Convert to fraction form
    57,582.28/86,373.42 = 32,941/x
  3. Step 3: Cross multiply
    57,582.28x = 86,373.42 × 32,941
  4. Step 4: Simplify right side
    57,582.28x = 2,845,226,828.22
  5. Step 5: Solve for x
    x = 2,845,226,828.22/57,582.28
  6. Step 6: Final answer
    x = 49,411.50

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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.