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Finding the Fourth Proportional to 61,858, 92,787.54 and 20,305

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Solution

The fourth proportional to 61,858, 92,787.54 and 20,305 is: 30,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,858 : 92,787.54 = 20,305 : x
  2. Step 2: Convert to fraction form
    61,858/92,787.54 = 20,305/x
  3. Step 3: Cross multiply
    61,858x = 92,787.54 × 20,305
  4. Step 4: Simplify right side
    61,858x = 1,884,050,999.70
  5. Step 5: Solve for x
    x = 1,884,050,999.70/61,858
  6. Step 6: Final answer
    x = 30,457.68

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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.