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Finding the Fourth Proportional to 52,605.99, 78,933.59 and 30,438.02

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Solution

The fourth proportional to 52,605.99, 78,933.59 and 30,438.02 is: 45,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,605.99 : 78,933.59 = 30,438.02 : x
  2. Step 2: Convert to fraction form
    52,605.99/78,933.59 = 30,438.02/x
  3. Step 3: Cross multiply
    52,605.99x = 78,933.59 × 30,438.02
  4. Step 4: Simplify right side
    52,605.99x = 2,402,581,644.23
  5. Step 5: Solve for x
    x = 2,402,581,644.23/52,605.99
  6. Step 6: Final answer
    x = 45,671.26

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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.