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Finding the Fourth Proportional to 65,208.92, 97,775.86 and 34,776.51

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Solution

The fourth proportional to 65,208.92, 97,775.86 and 34,776.51 is: 52,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,208.92 : 97,775.86 = 34,776.51 : x
  2. Step 2: Convert to fraction form
    65,208.92/97,775.86 = 34,776.51/x
  3. Step 3: Cross multiply
    65,208.92x = 97,775.86 × 34,776.51
  4. Step 4: Simplify right side
    65,208.92x = 3,400,302,784.65
  5. Step 5: Solve for x
    x = 3,400,302,784.65/65,208.92
  6. Step 6: Final answer
    x = 52,144.75

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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.