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Finding the Fourth Proportional to 65,477.25, 90,358.61 and 35,669.25

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Solution

The fourth proportional to 65,477.25, 90,358.61 and 35,669.25 is: 49,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,477.25 : 90,358.61 = 35,669.25 : x
  2. Step 2: Convert to fraction form
    65,477.25/90,358.61 = 35,669.25/x
  3. Step 3: Cross multiply
    65,477.25x = 90,358.61 × 35,669.25
  4. Step 4: Simplify right side
    65,477.25x = 3,223,023,671.40
  5. Step 5: Solve for x
    x = 3,223,023,671.40/65,477.25
  6. Step 6: Final answer
    x = 49,223.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.