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Finding the Fourth Proportional to 35,785.70, 53,674.45 and 9,492.49

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Solution

The fourth proportional to 35,785.70, 53,674.45 and 9,492.49 is: 14,237.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,785.70 : 53,674.45 = 9,492.49 : x
  2. Step 2: Convert to fraction form
    35,785.70/53,674.45 = 9,492.49/x
  3. Step 3: Cross multiply
    35,785.70x = 53,674.45 × 9,492.49
  4. Step 4: Simplify right side
    35,785.70x = 509,504,223.24
  5. Step 5: Solve for x
    x = 509,504,223.24/35,785.70
  6. Step 6: Final answer
    x = 14,237.65

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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.