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Finding the Fourth Proportional to 61,748.64, 85,214.92 and 34,892.32

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Solution

The fourth proportional to 61,748.64, 85,214.92 and 34,892.32 is: 48,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,748.64 : 85,214.92 = 34,892.32 : x
  2. Step 2: Convert to fraction form
    61,748.64/85,214.92 = 34,892.32/x
  3. Step 3: Cross multiply
    61,748.64x = 85,214.92 × 34,892.32
  4. Step 4: Simplify right side
    61,748.64x = 2,973,346,257.41
  5. Step 5: Solve for x
    x = 2,973,346,257.41/61,748.64
  6. Step 6: Final answer
    x = 48,152.42

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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.