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Finding the Fourth Proportional to 57,146.34, 85,700.55 and 19,705.50

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Solution

The fourth proportional to 57,146.34, 85,700.55 and 19,705.50 is: 29,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,146.34 : 85,700.55 = 19,705.50 : x
  2. Step 2: Convert to fraction form
    57,146.34/85,700.55 = 19,705.50/x
  3. Step 3: Cross multiply
    57,146.34x = 85,700.55 × 19,705.50
  4. Step 4: Simplify right side
    57,146.34x = 1,688,772,188.03
  5. Step 5: Solve for x
    x = 1,688,772,188.03/57,146.34
  6. Step 6: Final answer
    x = 29,551.71

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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.