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Finding the Fourth Proportional to 32,627.84, 48,934.80 and 9,254.48

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Solution

The fourth proportional to 32,627.84, 48,934.80 and 9,254.48 is: 13,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,627.84 : 48,934.80 = 9,254.48 : x
  2. Step 2: Convert to fraction form
    32,627.84/48,934.80 = 9,254.48/x
  3. Step 3: Cross multiply
    32,627.84x = 48,934.80 × 9,254.48
  4. Step 4: Simplify right side
    32,627.84x = 452,866,127.90
  5. Step 5: Solve for x
    x = 452,866,127.90/32,627.84
  6. Step 6: Final answer
    x = 13,879.75

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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.