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Finding the Fourth Proportional to 52,772.49, 72,825.48 and 28,897.74

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Solution

The fourth proportional to 52,772.49, 72,825.48 and 28,897.74 is: 39,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,772.49 : 72,825.48 = 28,897.74 : x
  2. Step 2: Convert to fraction form
    52,772.49/72,825.48 = 28,897.74/x
  3. Step 3: Cross multiply
    52,772.49x = 72,825.48 × 28,897.74
  4. Step 4: Simplify right side
    52,772.49x = 2,104,491,786.42
  5. Step 5: Solve for x
    x = 2,104,491,786.42/52,772.49
  6. Step 6: Final answer
    x = 39,878.58

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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.