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Finding the Fourth Proportional to 32,468.58, 44,706.71 and 27,677.78

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Solution

The fourth proportional to 32,468.58, 44,706.71 and 27,677.78 is: 38,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,468.58 : 44,706.71 = 27,677.78 : x
  2. Step 2: Convert to fraction form
    32,468.58/44,706.71 = 27,677.78/x
  3. Step 3: Cross multiply
    32,468.58x = 44,706.71 × 27,677.78
  4. Step 4: Simplify right side
    32,468.58x = 1,237,382,483.90
  5. Step 5: Solve for x
    x = 1,237,382,483.90/32,468.58
  6. Step 6: Final answer
    x = 38,110.15

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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.