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Finding the Fourth Proportional to 32,415.75, 48,631.84 and 9,042.19

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Solution

The fourth proportional to 32,415.75, 48,631.84 and 9,042.19 is: 13,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,415.75 : 48,631.84 = 9,042.19 : x
  2. Step 2: Convert to fraction form
    32,415.75/48,631.84 = 9,042.19/x
  3. Step 3: Cross multiply
    32,415.75x = 48,631.84 × 9,042.19
  4. Step 4: Simplify right side
    32,415.75x = 439,738,193.14
  5. Step 5: Solve for x
    x = 439,738,193.14/32,415.75
  6. Step 6: Final answer
    x = 13,565.57

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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.