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Finding the Fourth Proportional to 32,470.40, 48,681.84 and 10,271.36

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Solution

The fourth proportional to 32,470.40, 48,681.84 and 10,271.36 is: 15,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.40 : 48,681.84 = 10,271.36 : x
  2. Step 2: Convert to fraction form
    32,470.40/48,681.84 = 10,271.36/x
  3. Step 3: Cross multiply
    32,470.40x = 48,681.84 × 10,271.36
  4. Step 4: Simplify right side
    32,470.40x = 500,028,704.10
  5. Step 5: Solve for x
    x = 500,028,704.10/32,470.40
  6. Step 6: Final answer
    x = 15,399.52

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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.