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Finding the Fourth Proportional to 65,184, 97,776 and 23,631.04

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Solution

The fourth proportional to 65,184, 97,776 and 23,631.04 is: 35,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,184 : 97,776 = 23,631.04 : x
  2. Step 2: Convert to fraction form
    65,184/97,776 = 23,631.04/x
  3. Step 3: Cross multiply
    65,184x = 97,776 × 23,631.04
  4. Step 4: Simplify right side
    65,184x = 2,310,548,567.04
  5. Step 5: Solve for x
    x = 2,310,548,567.04/65,184
  6. Step 6: Final answer
    x = 35,446.56

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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.