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Finding the Fourth Proportional to 35,159.67, 52,738.29 and 11,785.50

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Solution

The fourth proportional to 35,159.67, 52,738.29 and 11,785.50 is: 17,677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,159.67 : 52,738.29 = 11,785.50 : x
  2. Step 2: Convert to fraction form
    35,159.67/52,738.29 = 11,785.50/x
  3. Step 3: Cross multiply
    35,159.67x = 52,738.29 × 11,785.50
  4. Step 4: Simplify right side
    35,159.67x = 621,547,116.80
  5. Step 5: Solve for x
    x = 621,547,116.80/35,159.67
  6. Step 6: Final answer
    x = 17,677.84

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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.