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Finding the Fourth Proportional to 65,308.75, 97,950.74 and 23,187.13

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Solution

The fourth proportional to 65,308.75, 97,950.74 and 23,187.13 is: 34,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,308.75 : 97,950.74 = 23,187.13 : x
  2. Step 2: Convert to fraction form
    65,308.75/97,950.74 = 23,187.13/x
  3. Step 3: Cross multiply
    65,308.75x = 97,950.74 × 23,187.13
  4. Step 4: Simplify right side
    65,308.75x = 2,271,196,181.16
  5. Step 5: Solve for x
    x = 2,271,196,181.16/65,308.75
  6. Step 6: Final answer
    x = 34,776.29

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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.