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Finding the Fourth Proportional to 56,199.42, 84,271.02 and 31,256.70

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Solution

The fourth proportional to 56,199.42, 84,271.02 and 31,256.70 is: 46,869.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,199.42 : 84,271.02 = 31,256.70 : x
  2. Step 2: Convert to fraction form
    56,199.42/84,271.02 = 31,256.70/x
  3. Step 3: Cross multiply
    56,199.42x = 84,271.02 × 31,256.70
  4. Step 4: Simplify right side
    56,199.42x = 2,634,033,990.83
  5. Step 5: Solve for x
    x = 2,634,033,990.83/56,199.42
  6. Step 6: Final answer
    x = 46,869.42

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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.