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Finding the Fourth Proportional to 61,014.25, 91,523 and 19,461.25

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Solution

The fourth proportional to 61,014.25, 91,523 and 19,461.25 is: 29,192.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,014.25 : 91,523 = 19,461.25 : x
  2. Step 2: Convert to fraction form
    61,014.25/91,523 = 19,461.25/x
  3. Step 3: Cross multiply
    61,014.25x = 91,523 × 19,461.25
  4. Step 4: Simplify right side
    61,014.25x = 1,781,151,983.75
  5. Step 5: Solve for x
    x = 1,781,151,983.75/61,014.25
  6. Step 6: Final answer
    x = 29,192.39

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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.