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Finding the Fourth Proportional to 52,596.81, 78,848.40 and 19,309.26

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Solution

The fourth proportional to 52,596.81, 78,848.40 and 19,309.26 is: 28,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,596.81 : 78,848.40 = 19,309.26 : x
  2. Step 2: Convert to fraction form
    52,596.81/78,848.40 = 19,309.26/x
  3. Step 3: Cross multiply
    52,596.81x = 78,848.40 × 19,309.26
  4. Step 4: Simplify right side
    52,596.81x = 1,522,504,256.18
  5. Step 5: Solve for x
    x = 1,522,504,256.18/52,596.81
  6. Step 6: Final answer
    x = 28,946.70

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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.