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Finding the Fourth Proportional to 53,102.84, 79,626.72 and 15,657.98

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Solution

The fourth proportional to 53,102.84, 79,626.72 and 15,657.98 is: 23,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,102.84 : 79,626.72 = 15,657.98 : x
  2. Step 2: Convert to fraction form
    53,102.84/79,626.72 = 15,657.98/x
  3. Step 3: Cross multiply
    53,102.84x = 79,626.72 × 15,657.98
  4. Step 4: Simplify right side
    53,102.84x = 1,246,793,589.23
  5. Step 5: Solve for x
    x = 1,246,793,589.23/53,102.84
  6. Step 6: Final answer
    x = 23,478.85

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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.