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Finding the Fourth Proportional to 52,830.38, 72,913.40 and 32,693.75

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Solution

The fourth proportional to 52,830.38, 72,913.40 and 32,693.75 is: 45,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830.38 : 72,913.40 = 32,693.75 : x
  2. Step 2: Convert to fraction form
    52,830.38/72,913.40 = 32,693.75/x
  3. Step 3: Cross multiply
    52,830.38x = 72,913.40 × 32,693.75
  4. Step 4: Simplify right side
    52,830.38x = 2,383,812,156.96
  5. Step 5: Solve for x
    x = 2,383,812,156.96/52,830.38
  6. Step 6: Final answer
    x = 45,122.00

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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.