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Finding the Fourth Proportional to 65,018.44, 97,529.48 and 31,765.11

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Solution

The fourth proportional to 65,018.44, 97,529.48 and 31,765.11 is: 47,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,018.44 : 97,529.48 = 31,765.11 : x
  2. Step 2: Convert to fraction form
    65,018.44/97,529.48 = 31,765.11/x
  3. Step 3: Cross multiply
    65,018.44x = 97,529.48 × 31,765.11
  4. Step 4: Simplify right side
    65,018.44x = 3,098,034,252.21
  5. Step 5: Solve for x
    x = 3,098,034,252.21/65,018.44
  6. Step 6: Final answer
    x = 47,648.55

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1.5x scale

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.