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Finding the Fourth Proportional to 52,335.94, 72,192.85 and 32,923.98

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Solution

The fourth proportional to 52,335.94, 72,192.85 and 32,923.98 is: 45,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,335.94 : 72,192.85 = 32,923.98 : x
  2. Step 2: Convert to fraction form
    52,335.94/72,192.85 = 32,923.98/x
  3. Step 3: Cross multiply
    52,335.94x = 72,192.85 × 32,923.98
  4. Step 4: Simplify right side
    52,335.94x = 2,376,876,193.74
  5. Step 5: Solve for x
    x = 2,376,876,193.74/52,335.94
  6. Step 6: Final answer
    x = 45,415.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.