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Finding the Fourth Proportional to 65,774.16, 90,771.84 and 37,473.84

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Solution

The fourth proportional to 65,774.16, 90,771.84 and 37,473.84 is: 51,715.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.16 : 90,771.84 = 37,473.84 : x
  2. Step 2: Convert to fraction form
    65,774.16/90,771.84 = 37,473.84/x
  3. Step 3: Cross multiply
    65,774.16x = 90,771.84 × 37,473.84
  4. Step 4: Simplify right side
    65,774.16x = 3,401,569,408.67
  5. Step 5: Solve for x
    x = 3,401,569,408.67/65,774.16
  6. Step 6: Final answer
    x = 51,715.89

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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.