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Finding the Fourth Proportional to 31,870.42, 47,805.58 and 9,683.70

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Solution

The fourth proportional to 31,870.42, 47,805.58 and 9,683.70 is: 14,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,870.42 : 47,805.58 = 9,683.70 : x
  2. Step 2: Convert to fraction form
    31,870.42/47,805.58 = 9,683.70/x
  3. Step 3: Cross multiply
    31,870.42x = 47,805.58 × 9,683.70
  4. Step 4: Simplify right side
    31,870.42x = 462,934,895.05
  5. Step 5: Solve for x
    x = 462,934,895.05/31,870.42
  6. Step 6: Final answer
    x = 14,525.53

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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.