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Finding the Fourth Proportional to 31,154.40, 46,493.17 and 27,830.16

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Solution

The fourth proportional to 31,154.40, 46,493.17 and 27,830.16 is: 41,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,154.40 : 46,493.17 = 27,830.16 : x
  2. Step 2: Convert to fraction form
    31,154.40/46,493.17 = 27,830.16/x
  3. Step 3: Cross multiply
    31,154.40x = 46,493.17 × 27,830.16
  4. Step 4: Simplify right side
    31,154.40x = 1,293,912,360.01
  5. Step 5: Solve for x
    x = 1,293,912,360.01/31,154.40
  6. Step 6: Final answer
    x = 41,532.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.