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Finding the Fourth Proportional to 31,303.80, 46,998.90 and 24,737.40

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Solution

The fourth proportional to 31,303.80, 46,998.90 and 24,737.40 is: 37,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.80 : 46,998.90 = 24,737.40 : x
  2. Step 2: Convert to fraction form
    31,303.80/46,998.90 = 24,737.40/x
  3. Step 3: Cross multiply
    31,303.80x = 46,998.90 × 24,737.40
  4. Step 4: Simplify right side
    31,303.80x = 1,162,630,588.86
  5. Step 5: Solve for x
    x = 1,162,630,588.86/31,303.80
  6. Step 6: Final answer
    x = 37,140.24

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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.