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Finding the Fourth Proportional to 32,747.60, 49,097.10 and 10,548.20

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Solution

The fourth proportional to 32,747.60, 49,097.10 and 10,548.20 is: 15,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,747.60 : 49,097.10 = 10,548.20 : x
  2. Step 2: Convert to fraction form
    32,747.60/49,097.10 = 10,548.20/x
  3. Step 3: Cross multiply
    32,747.60x = 49,097.10 × 10,548.20
  4. Step 4: Simplify right side
    32,747.60x = 517,886,030.22
  5. Step 5: Solve for x
    x = 517,886,030.22/32,747.60
  6. Step 6: Final answer
    x = 15,814.47

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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.