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Finding the Fourth Proportional to 52,348.33, 78,492.74 and 35,728.50

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Solution

The fourth proportional to 52,348.33, 78,492.74 and 35,728.50 is: 53,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,348.33 : 78,492.74 = 35,728.50 : x
  2. Step 2: Convert to fraction form
    52,348.33/78,492.74 = 35,728.50/x
  3. Step 3: Cross multiply
    52,348.33x = 78,492.74 × 35,728.50
  4. Step 4: Simplify right side
    52,348.33x = 2,804,427,682.45
  5. Step 5: Solve for x
    x = 2,804,427,682.45/52,348.33
  6. Step 6: Final answer
    x = 53,572.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.