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Finding the Fourth Proportional to 65,182.64, 97,598.92 and 33,952.24

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Solution

The fourth proportional to 65,182.64, 97,598.92 and 33,952.24 is: 50,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,182.64 : 97,598.92 = 33,952.24 : x
  2. Step 2: Convert to fraction form
    65,182.64/97,598.92 = 33,952.24/x
  3. Step 3: Cross multiply
    65,182.64x = 97,598.92 × 33,952.24
  4. Step 4: Simplify right side
    65,182.64x = 3,313,701,955.58
  5. Step 5: Solve for x
    x = 3,313,701,955.58/65,182.64
  6. Step 6: Final answer
    x = 50,837.19

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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.