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Finding the Fourth Proportional to 52,122.60, 78,206.04 and 25,827.84

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Solution

The fourth proportional to 52,122.60, 78,206.04 and 25,827.84 is: 38,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122.60 : 78,206.04 = 25,827.84 : x
  2. Step 2: Convert to fraction form
    52,122.60/78,206.04 = 25,827.84/x
  3. Step 3: Cross multiply
    52,122.60x = 78,206.04 × 25,827.84
  4. Step 4: Simplify right side
    52,122.60x = 2,019,893,088.15
  5. Step 5: Solve for x
    x = 2,019,893,088.15/52,122.60
  6. Step 6: Final answer
    x = 38,752.73

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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.