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Finding the Fourth Proportional to 83,915.16, 115,803.18 and 46,189.41

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Solution

The fourth proportional to 83,915.16, 115,803.18 and 46,189.41 is: 63,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.16 : 115,803.18 = 46,189.41 : x
  2. Step 2: Convert to fraction form
    83,915.16/115,803.18 = 46,189.41/x
  3. Step 3: Cross multiply
    83,915.16x = 115,803.18 × 46,189.41
  4. Step 4: Simplify right side
    83,915.16x = 5,348,880,560.32
  5. Step 5: Solve for x
    x = 5,348,880,560.32/83,915.16
  6. Step 6: Final answer
    x = 63,741.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.