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Finding the Fourth Proportional to 52,506, 78,782.20 and 27,540.08

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Solution

The fourth proportional to 52,506, 78,782.20 and 27,540.08 is: 41,322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,506 : 78,782.20 = 27,540.08 : x
  2. Step 2: Convert to fraction form
    52,506/78,782.20 = 27,540.08/x
  3. Step 3: Cross multiply
    52,506x = 78,782.20 × 27,540.08
  4. Step 4: Simplify right side
    52,506x = 2,169,668,090.58
  5. Step 5: Solve for x
    x = 2,169,668,090.58/52,506
  6. Step 6: Final answer
    x = 41,322.29

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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.