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Finding the Fourth Proportional to 61,784.28, 85,167.90 and 37,866.60

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Solution

The fourth proportional to 61,784.28, 85,167.90 and 37,866.60 is: 52,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,784.28 : 85,167.90 = 37,866.60 : x
  2. Step 2: Convert to fraction form
    61,784.28/85,167.90 = 37,866.60/x
  3. Step 3: Cross multiply
    61,784.28x = 85,167.90 × 37,866.60
  4. Step 4: Simplify right side
    61,784.28x = 3,225,018,802.14
  5. Step 5: Solve for x
    x = 3,225,018,802.14/61,784.28
  6. Step 6: Final answer
    x = 52,198.05

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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.