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Finding the Fourth Proportional to 52,155, 78,238.61 and 16,603.87

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Solution

The fourth proportional to 52,155, 78,238.61 and 16,603.87 is: 24,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,155 : 78,238.61 = 16,603.87 : x
  2. Step 2: Convert to fraction form
    52,155/78,238.61 = 16,603.87/x
  3. Step 3: Cross multiply
    52,155x = 78,238.61 × 16,603.87
  4. Step 4: Simplify right side
    52,155x = 1,299,063,235.21
  5. Step 5: Solve for x
    x = 1,299,063,235.21/52,155
  6. Step 6: Final answer
    x = 24,907.74

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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.