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Finding the Fourth Proportional to 65,172.80, 89,809.44 and 46,256.96

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Solution

The fourth proportional to 65,172.80, 89,809.44 and 46,256.96 is: 63,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,172.80 : 89,809.44 = 46,256.96 : x
  2. Step 2: Convert to fraction form
    65,172.80/89,809.44 = 46,256.96/x
  3. Step 3: Cross multiply
    65,172.80x = 89,809.44 × 46,256.96
  4. Step 4: Simplify right side
    65,172.80x = 4,154,311,673.70
  5. Step 5: Solve for x
    x = 4,154,311,673.70/65,172.80
  6. Step 6: Final answer
    x = 63,743.03

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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.