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Finding the Fourth Proportional to 32,797.59, 45,264.15 and 20,058.22

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Solution

The fourth proportional to 32,797.59, 45,264.15 and 20,058.22 is: 27,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,797.59 : 45,264.15 = 20,058.22 : x
  2. Step 2: Convert to fraction form
    32,797.59/45,264.15 = 20,058.22/x
  3. Step 3: Cross multiply
    32,797.59x = 45,264.15 × 20,058.22
  4. Step 4: Simplify right side
    32,797.59x = 907,918,278.81
  5. Step 5: Solve for x
    x = 907,918,278.81/32,797.59
  6. Step 6: Final answer
    x = 27,682.47

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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.