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Finding the Fourth Proportional to 57,462.68, 79,305.72 and 32,312

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Solution

The fourth proportional to 57,462.68, 79,305.72 and 32,312 is: 44,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462.68 : 79,305.72 = 32,312 : x
  2. Step 2: Convert to fraction form
    57,462.68/79,305.72 = 32,312/x
  3. Step 3: Cross multiply
    57,462.68x = 79,305.72 × 32,312
  4. Step 4: Simplify right side
    57,462.68x = 2,562,526,424.64
  5. Step 5: Solve for x
    x = 2,562,526,424.64/57,462.68
  6. Step 6: Final answer
    x = 44,594.62

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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.