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Finding the Fourth Proportional to 52,409.80, 78,611.10 and 16,870.60

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Solution

The fourth proportional to 52,409.80, 78,611.10 and 16,870.60 is: 25,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.80 : 78,611.10 = 16,870.60 : x
  2. Step 2: Convert to fraction form
    52,409.80/78,611.10 = 16,870.60/x
  3. Step 3: Cross multiply
    52,409.80x = 78,611.10 × 16,870.60
  4. Step 4: Simplify right side
    52,409.80x = 1,326,216,423.66
  5. Step 5: Solve for x
    x = 1,326,216,423.66/52,409.80
  6. Step 6: Final answer
    x = 25,304.74

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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.