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Finding the Fourth Proportional to 56,678.86, 78,212 and 32,807.02

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Solution

The fourth proportional to 56,678.86, 78,212 and 32,807.02 is: 45,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,678.86 : 78,212 = 32,807.02 : x
  2. Step 2: Convert to fraction form
    56,678.86/78,212 = 32,807.02/x
  3. Step 3: Cross multiply
    56,678.86x = 78,212 × 32,807.02
  4. Step 4: Simplify right side
    56,678.86x = 2,565,902,648.24
  5. Step 5: Solve for x
    x = 2,565,902,648.24/56,678.86
  6. Step 6: Final answer
    x = 45,270.89

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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.