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Finding the Fourth Proportional to 52,575.66, 78,820.95 and 35,893.74

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Solution

The fourth proportional to 52,575.66, 78,820.95 and 35,893.74 is: 53,811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,575.66 : 78,820.95 = 35,893.74 : x
  2. Step 2: Convert to fraction form
    52,575.66/78,820.95 = 35,893.74/x
  3. Step 3: Cross multiply
    52,575.66x = 78,820.95 × 35,893.74
  4. Step 4: Simplify right side
    52,575.66x = 2,829,178,685.85
  5. Step 5: Solve for x
    x = 2,829,178,685.85/52,575.66
  6. Step 6: Final answer
    x = 53,811.57

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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.