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Finding the Fourth Proportional to 50,315.42, 75,475.71 and 12,875.82

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Solution

The fourth proportional to 50,315.42, 75,475.71 and 12,875.82 is: 19,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,315.42 : 75,475.71 = 12,875.82 : x
  2. Step 2: Convert to fraction form
    50,315.42/75,475.71 = 12,875.82/x
  3. Step 3: Cross multiply
    50,315.42x = 75,475.71 × 12,875.82
  4. Step 4: Simplify right side
    50,315.42x = 971,811,656.33
  5. Step 5: Solve for x
    x = 971,811,656.33/50,315.42
  6. Step 6: Final answer
    x = 19,314.39

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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.