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Finding the Fourth Proportional to 65,101.87, 97,652.52 and 27,656.20

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Solution

The fourth proportional to 65,101.87, 97,652.52 and 27,656.20 is: 41,484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.87 : 97,652.52 = 27,656.20 : x
  2. Step 2: Convert to fraction form
    65,101.87/97,652.52 = 27,656.20/x
  3. Step 3: Cross multiply
    65,101.87x = 97,652.52 × 27,656.20
  4. Step 4: Simplify right side
    65,101.87x = 2,700,697,623.62
  5. Step 5: Solve for x
    x = 2,700,697,623.62/65,101.87
  6. Step 6: Final answer
    x = 41,484.18

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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.