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Finding the Fourth Proportional to 32,558.30, 48,842.90 and 10,378.48

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Solution

The fourth proportional to 32,558.30, 48,842.90 and 10,378.48 is: 15,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,558.30 : 48,842.90 = 10,378.48 : x
  2. Step 2: Convert to fraction form
    32,558.30/48,842.90 = 10,378.48/x
  3. Step 3: Cross multiply
    32,558.30x = 48,842.90 × 10,378.48
  4. Step 4: Simplify right side
    32,558.30x = 506,915,017.29
  5. Step 5: Solve for x
    x = 506,915,017.29/32,558.30
  6. Step 6: Final answer
    x = 15,569.45

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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.