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Finding the Fourth Proportional to 71,022.10, 106,549.53 and 21,101.08

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Solution

The fourth proportional to 71,022.10, 106,549.53 and 21,101.08 is: 31,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,022.10 : 106,549.53 = 21,101.08 : x
  2. Step 2: Convert to fraction form
    71,022.10/106,549.53 = 21,101.08/x
  3. Step 3: Cross multiply
    71,022.10x = 106,549.53 × 21,101.08
  4. Step 4: Simplify right side
    71,022.10x = 2,248,310,156.49
  5. Step 5: Solve for x
    x = 2,248,310,156.49/71,022.10
  6. Step 6: Final answer
    x = 31,656.49

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