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Finding the Fourth Proportional to 32,948.80, 49,423.20 and 31,004.80

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Solution

The fourth proportional to 32,948.80, 49,423.20 and 31,004.80 is: 46,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,948.80 : 49,423.20 = 31,004.80 : x
  2. Step 2: Convert to fraction form
    32,948.80/49,423.20 = 31,004.80/x
  3. Step 3: Cross multiply
    32,948.80x = 49,423.20 × 31,004.80
  4. Step 4: Simplify right side
    32,948.80x = 1,532,356,431.36
  5. Step 5: Solve for x
    x = 1,532,356,431.36/32,948.80
  6. Step 6: Final answer
    x = 46,507.20

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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.