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Finding the Fourth Proportional to 61,077.64, 84,328.33 and 38,142.49

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Solution

The fourth proportional to 61,077.64, 84,328.33 and 38,142.49 is: 52,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,077.64 : 84,328.33 = 38,142.49 : x
  2. Step 2: Convert to fraction form
    61,077.64/84,328.33 = 38,142.49/x
  3. Step 3: Cross multiply
    61,077.64x = 84,328.33 × 38,142.49
  4. Step 4: Simplify right side
    61,077.64x = 3,216,491,966.74
  5. Step 5: Solve for x
    x = 3,216,491,966.74/61,077.64
  6. Step 6: Final answer
    x = 52,662.35

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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.