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Finding the Fourth Proportional to 65,477.82, 98,223.06 and 26,026.08

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Solution

The fourth proportional to 65,477.82, 98,223.06 and 26,026.08 is: 39,041.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477.82 : 98,223.06 = 26,026.08 : x
  2. Step 2: Convert to fraction form
    65,477.82/98,223.06 = 26,026.08/x
  3. Step 3: Cross multiply
    65,477.82x = 98,223.06 × 26,026.08
  4. Step 4: Simplify right side
    65,477.82x = 2,556,361,217.40
  5. Step 5: Solve for x
    x = 2,556,361,217.40/65,477.82
  6. Step 6: Final answer
    x = 39,041.64

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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.