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Finding the Fourth Proportional to 83,915.48, 115,804.14 and 46,190

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Solution

The fourth proportional to 83,915.48, 115,804.14 and 46,190 is: 63,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.48 : 115,804.14 = 46,190 : x
  2. Step 2: Convert to fraction form
    83,915.48/115,804.14 = 46,190/x
  3. Step 3: Cross multiply
    83,915.48x = 115,804.14 × 46,190
  4. Step 4: Simplify right side
    83,915.48x = 5,348,993,226.60
  5. Step 5: Solve for x
    x = 5,348,993,226.60/83,915.48
  6. Step 6: Final answer
    x = 63,742.63

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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.