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Finding the Fourth Proportional to 31,232.58, 46,828.11 and 17,199.22

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Solution

The fourth proportional to 31,232.58, 46,828.11 and 17,199.22 is: 25,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.58 : 46,828.11 = 17,199.22 : x
  2. Step 2: Convert to fraction form
    31,232.58/46,828.11 = 17,199.22/x
  3. Step 3: Cross multiply
    31,232.58x = 46,828.11 × 17,199.22
  4. Step 4: Simplify right side
    31,232.58x = 805,406,878.34
  5. Step 5: Solve for x
    x = 805,406,878.34/31,232.58
  6. Step 6: Final answer
    x = 25,787.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.