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Finding the Fourth Proportional to 109,950.72, 164,903.40 and 53,733.12

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Solution

The fourth proportional to 109,950.72, 164,903.40 and 53,733.12 is: 80,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,950.72 : 164,903.40 = 53,733.12 : x
  2. Step 2: Convert to fraction form
    109,950.72/164,903.40 = 53,733.12/x
  3. Step 3: Cross multiply
    109,950.72x = 164,903.40 × 53,733.12
  4. Step 4: Simplify right side
    109,950.72x = 8,860,774,180.61
  5. Step 5: Solve for x
    x = 8,860,774,180.61/109,950.72
  6. Step 6: Final answer
    x = 80,588.60

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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.