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Finding the Fourth Proportional to 85,428.90, 117,893.02 and 47,188.35

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Solution

The fourth proportional to 85,428.90, 117,893.02 and 47,188.35 is: 65,120.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,428.90 : 117,893.02 = 47,188.35 : x
  2. Step 2: Convert to fraction form
    85,428.90/117,893.02 = 47,188.35/x
  3. Step 3: Cross multiply
    85,428.90x = 117,893.02 × 47,188.35
  4. Step 4: Simplify right side
    85,428.90x = 5,563,176,854.38
  5. Step 5: Solve for x
    x = 5,563,176,854.38/85,428.90
  6. Step 6: Final answer
    x = 65,120.55

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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.