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Finding the Fourth Proportional to 56,675.16, 78,218.46 and 32,484.78

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Solution

The fourth proportional to 56,675.16, 78,218.46 and 32,484.78 is: 44,832.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,675.16 : 78,218.46 = 32,484.78 : x
  2. Step 2: Convert to fraction form
    56,675.16/78,218.46 = 32,484.78/x
  3. Step 3: Cross multiply
    56,675.16x = 78,218.46 × 32,484.78
  4. Step 4: Simplify right side
    56,675.16x = 2,540,909,465.04
  5. Step 5: Solve for x
    x = 2,540,909,465.04/56,675.16
  6. Step 6: Final answer
    x = 44,832.86

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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.