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Finding the Fourth Proportional to 65,032.32, 89,744.04 and 35,224.32

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Solution

The fourth proportional to 65,032.32, 89,744.04 and 35,224.32 is: 48,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,032.32 : 89,744.04 = 35,224.32 : x
  2. Step 2: Convert to fraction form
    65,032.32/89,744.04 = 35,224.32/x
  3. Step 3: Cross multiply
    65,032.32x = 89,744.04 × 35,224.32
  4. Step 4: Simplify right side
    65,032.32x = 3,161,172,783.05
  5. Step 5: Solve for x
    x = 3,161,172,783.05/65,032.32
  6. Step 6: Final answer
    x = 48,609.26

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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.