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Finding the Fourth Proportional to 32,513.88, 48,770.82 and 9,140.32

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Solution

The fourth proportional to 32,513.88, 48,770.82 and 9,140.32 is: 13,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.88 : 48,770.82 = 9,140.32 : x
  2. Step 2: Convert to fraction form
    32,513.88/48,770.82 = 9,140.32/x
  3. Step 3: Cross multiply
    32,513.88x = 48,770.82 × 9,140.32
  4. Step 4: Simplify right side
    32,513.88x = 445,780,901.46
  5. Step 5: Solve for x
    x = 445,780,901.46/32,513.88
  6. Step 6: Final answer
    x = 13,710.48

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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.