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Finding the Fourth Proportional to 65,507.28, 90,389.16 and 37,202.64

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Solution

The fourth proportional to 65,507.28, 90,389.16 and 37,202.64 is: 51,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.28 : 90,389.16 = 37,202.64 : x
  2. Step 2: Convert to fraction form
    65,507.28/90,389.16 = 37,202.64/x
  3. Step 3: Cross multiply
    65,507.28x = 90,389.16 × 37,202.64
  4. Step 4: Simplify right side
    65,507.28x = 3,362,715,379.38
  5. Step 5: Solve for x
    x = 3,362,715,379.38/65,507.28
  6. Step 6: Final answer
    x = 51,333.46

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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.