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Finding the Fourth Proportional to 56,536.56, 78,023.16 and 32,666.40

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Solution

The fourth proportional to 56,536.56, 78,023.16 and 32,666.40 is: 45,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,536.56 : 78,023.16 = 32,666.40 : x
  2. Step 2: Convert to fraction form
    56,536.56/78,023.16 = 32,666.40/x
  3. Step 3: Cross multiply
    56,536.56x = 78,023.16 × 32,666.40
  4. Step 4: Simplify right side
    56,536.56x = 2,548,735,753.82
  5. Step 5: Solve for x
    x = 2,548,735,753.82/56,536.56
  6. Step 6: Final answer
    x = 45,081.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.