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Finding the Fourth Proportional to 65,154.90, 89,923.41 and 41,283.80

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Solution

The fourth proportional to 65,154.90, 89,923.41 and 41,283.80 is: 56,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,154.90 : 89,923.41 = 41,283.80 : x
  2. Step 2: Convert to fraction form
    65,154.90/89,923.41 = 41,283.80/x
  3. Step 3: Cross multiply
    65,154.90x = 89,923.41 × 41,283.80
  4. Step 4: Simplify right side
    65,154.90x = 3,712,380,073.76
  5. Step 5: Solve for x
    x = 3,712,380,073.76/65,154.90
  6. Step 6: Final answer
    x = 56,977.76

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1.5x scale

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.