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Finding the Fourth Proportional to 32,960, 45,431.75 and 25,777.53

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Solution

The fourth proportional to 32,960, 45,431.75 and 25,777.53 is: 35,531.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960 : 45,431.75 = 25,777.53 : x
  2. Step 2: Convert to fraction form
    32,960/45,431.75 = 25,777.53/x
  3. Step 3: Cross multiply
    32,960x = 45,431.75 × 25,777.53
  4. Step 4: Simplify right side
    32,960x = 1,171,118,298.58
  5. Step 5: Solve for x
    x = 1,171,118,298.58/32,960
  6. Step 6: Final answer
    x = 35,531.50

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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.