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Finding the Fourth Proportional to 32,431.02, 48,646.56 and 7,807.02

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Solution

The fourth proportional to 32,431.02, 48,646.56 and 7,807.02 is: 11,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.02 : 48,646.56 = 7,807.02 : x
  2. Step 2: Convert to fraction form
    32,431.02/48,646.56 = 7,807.02/x
  3. Step 3: Cross multiply
    32,431.02x = 48,646.56 × 7,807.02
  4. Step 4: Simplify right side
    32,431.02x = 379,784,666.85
  5. Step 5: Solve for x
    x = 379,784,666.85/32,431.02
  6. Step 6: Final answer
    x = 11,710.54

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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.