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Finding the Fourth Proportional to 57,124.16, 78,830.08 and 31,629.04

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Solution

The fourth proportional to 57,124.16, 78,830.08 and 31,629.04 is: 43,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,124.16 : 78,830.08 = 31,629.04 : x
  2. Step 2: Convert to fraction form
    57,124.16/78,830.08 = 31,629.04/x
  3. Step 3: Cross multiply
    57,124.16x = 78,830.08 × 31,629.04
  4. Step 4: Simplify right side
    57,124.16x = 2,493,319,753.52
  5. Step 5: Solve for x
    x = 2,493,319,753.52/57,124.16
  6. Step 6: Final answer
    x = 43,647.38

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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.