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Finding the Fourth Proportional to 47,904.54, 71,893.70 and 38,567.40

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Solution

The fourth proportional to 47,904.54, 71,893.70 and 38,567.40 is: 57,880.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,904.54 : 71,893.70 = 38,567.40 : x
  2. Step 2: Convert to fraction form
    47,904.54/71,893.70 = 38,567.40/x
  3. Step 3: Cross multiply
    47,904.54x = 71,893.70 × 38,567.40
  4. Step 4: Simplify right side
    47,904.54x = 2,772,753,085.38
  5. Step 5: Solve for x
    x = 2,772,753,085.38/47,904.54
  6. Step 6: Final answer
    x = 57,880.80

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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.