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Finding the Fourth Proportional to 71,720.16, 107,506.13 and 27,335.00

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Solution

The fourth proportional to 71,720.16, 107,506.13 and 27,335.00 is: 40,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,720.16 : 107,506.13 = 27,335.00 : x
  2. Step 2: Convert to fraction form
    71,720.16/107,506.13 = 27,335.00/x
  3. Step 3: Cross multiply
    71,720.16x = 107,506.13 × 27,335.00
  4. Step 4: Simplify right side
    71,720.16x = 2,938,679,389.34
  5. Step 5: Solve for x
    x = 2,938,679,389.34/71,720.16
  6. Step 6: Final answer
    x = 40,974.24

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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.