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Finding the Fourth Proportional to 32,851.07, 49,277.51 and 9,477.50

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Solution

The fourth proportional to 32,851.07, 49,277.51 and 9,477.50 is: 14,216.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,851.07 : 49,277.51 = 9,477.50 : x
  2. Step 2: Convert to fraction form
    32,851.07/49,277.51 = 9,477.50/x
  3. Step 3: Cross multiply
    32,851.07x = 49,277.51 × 9,477.50
  4. Step 4: Simplify right side
    32,851.07x = 467,027,553.64
  5. Step 5: Solve for x
    x = 467,027,553.64/32,851.07
  6. Step 6: Final answer
    x = 14,216.51

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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.