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Finding the Fourth Proportional to 52,594.58, 78,923.10 and 21,019.56

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Solution

The fourth proportional to 52,594.58, 78,923.10 and 21,019.56 is: 31,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594.58 : 78,923.10 = 21,019.56 : x
  2. Step 2: Convert to fraction form
    52,594.58/78,923.10 = 21,019.56/x
  3. Step 3: Cross multiply
    52,594.58x = 78,923.10 × 21,019.56
  4. Step 4: Simplify right side
    52,594.58x = 1,658,928,835.84
  5. Step 5: Solve for x
    x = 1,658,928,835.84/52,594.58
  6. Step 6: Final answer
    x = 31,541.82

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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.