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Finding the Fourth Proportional to 65,090.32, 89,824.36 and 35,282.32

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Solution

The fourth proportional to 65,090.32, 89,824.36 and 35,282.32 is: 48,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,090.32 : 89,824.36 = 35,282.32 : x
  2. Step 2: Convert to fraction form
    65,090.32/89,824.36 = 35,282.32/x
  3. Step 3: Cross multiply
    65,090.32x = 89,824.36 × 35,282.32
  4. Step 4: Simplify right side
    65,090.32x = 3,169,211,813.32
  5. Step 5: Solve for x
    x = 3,169,211,813.32/65,090.32
  6. Step 6: Final answer
    x = 48,689.45

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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.