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Finding the Fourth Proportional to 57,177.60, 85,762.27 and 17,733.69

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Solution

The fourth proportional to 57,177.60, 85,762.27 and 17,733.69 is: 26,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,177.60 : 85,762.27 = 17,733.69 : x
  2. Step 2: Convert to fraction form
    57,177.60/85,762.27 = 17,733.69/x
  3. Step 3: Cross multiply
    57,177.60x = 85,762.27 × 17,733.69
  4. Step 4: Simplify right side
    57,177.60x = 1,520,881,081.06
  5. Step 5: Solve for x
    x = 1,520,881,081.06/57,177.60
  6. Step 6: Final answer
    x = 26,599.25

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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.