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Finding the Fourth Proportional to 52,454.98, 78,603.90 and 22,856.77

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Solution

The fourth proportional to 52,454.98, 78,603.90 and 22,856.77 is: 34,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454.98 : 78,603.90 = 22,856.77 : x
  2. Step 2: Convert to fraction form
    52,454.98/78,603.90 = 22,856.77/x
  3. Step 3: Cross multiply
    52,454.98x = 78,603.90 × 22,856.77
  4. Step 4: Simplify right side
    52,454.98x = 1,796,631,263.40
  5. Step 5: Solve for x
    x = 1,796,631,263.40/52,454.98
  6. Step 6: Final answer
    x = 34,250.92

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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.