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Finding the Fourth Proportional to 56,646.72, 78,174.16 and 32,780.88

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Solution

The fourth proportional to 56,646.72, 78,174.16 and 32,780.88 is: 45,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.72 : 78,174.16 = 32,780.88 : x
  2. Step 2: Convert to fraction form
    56,646.72/78,174.16 = 32,780.88/x
  3. Step 3: Cross multiply
    56,646.72x = 78,174.16 × 32,780.88
  4. Step 4: Simplify right side
    56,646.72x = 2,562,617,758.06
  5. Step 5: Solve for x
    x = 2,562,617,758.06/56,646.72
  6. Step 6: Final answer
    x = 45,238.59

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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.