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Finding the Fourth Proportional to 83,915.31, 115,804.95 and 46,189.56

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Solution

The fourth proportional to 83,915.31, 115,804.95 and 46,189.56 is: 63,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.31 : 115,804.95 = 46,189.56 : x
  2. Step 2: Convert to fraction form
    83,915.31/115,804.95 = 46,189.56/x
  3. Step 3: Cross multiply
    83,915.31x = 115,804.95 × 46,189.56
  4. Step 4: Simplify right side
    83,915.31x = 5,348,979,686.32
  5. Step 5: Solve for x
    x = 5,348,979,686.32/83,915.31
  6. Step 6: Final answer
    x = 63,742.60

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1.5x scale

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.