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Finding the Fourth Proportional to 75,492.94, 113,148.69 and 53,273.02

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Solution

The fourth proportional to 75,492.94, 113,148.69 and 53,273.02 is: 79,845.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492.94 : 113,148.69 = 53,273.02 : x
  2. Step 2: Convert to fraction form
    75,492.94/113,148.69 = 53,273.02/x
  3. Step 3: Cross multiply
    75,492.94x = 113,148.69 × 53,273.02
  4. Step 4: Simplify right side
    75,492.94x = 6,027,772,425.34
  5. Step 5: Solve for x
    x = 6,027,772,425.34/75,492.94
  6. Step 6: Final answer
    x = 79,845.51

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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.