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Finding the Fourth Proportional to 53,205.84, 79,820.44 and 15,768.80

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Solution

The fourth proportional to 53,205.84, 79,820.44 and 15,768.80 is: 23,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205.84 : 79,820.44 = 15,768.80 : x
  2. Step 2: Convert to fraction form
    53,205.84/79,820.44 = 15,768.80/x
  3. Step 3: Cross multiply
    53,205.84x = 79,820.44 × 15,768.80
  4. Step 4: Simplify right side
    53,205.84x = 1,258,672,554.27
  5. Step 5: Solve for x
    x = 1,258,672,554.27/53,205.84
  6. Step 6: Final answer
    x = 23,656.66

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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.