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Finding the Fourth Proportional to 85,734.60, 118,311 and 47,492.58

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Solution

The fourth proportional to 85,734.60, 118,311 and 47,492.58 is: 65,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,734.60 : 118,311 = 47,492.58 : x
  2. Step 2: Convert to fraction form
    85,734.60/118,311 = 47,492.58/x
  3. Step 3: Cross multiply
    85,734.60x = 118,311 × 47,492.58
  4. Step 4: Simplify right side
    85,734.60x = 5,618,894,632.38
  5. Step 5: Solve for x
    x = 5,618,894,632.38/85,734.60
  6. Step 6: Final answer
    x = 65,538.24

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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.