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Finding the Fourth Proportional to 32,064.28, 48,095.05 and 31,313.41

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Solution

The fourth proportional to 32,064.28, 48,095.05 and 31,313.41 is: 46,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,064.28 : 48,095.05 = 31,313.41 : x
  2. Step 2: Convert to fraction form
    32,064.28/48,095.05 = 31,313.41/x
  3. Step 3: Cross multiply
    32,064.28x = 48,095.05 × 31,313.41
  4. Step 4: Simplify right side
    32,064.28x = 1,506,020,019.62
  5. Step 5: Solve for x
    x = 1,506,020,019.62/32,064.28
  6. Step 6: Final answer
    x = 46,968.78

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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.