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Finding the Fourth Proportional to 32,945.16, 49,417.84 and 7,985.11

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Solution

The fourth proportional to 32,945.16, 49,417.84 and 7,985.11 is: 11,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945.16 : 49,417.84 = 7,985.11 : x
  2. Step 2: Convert to fraction form
    32,945.16/49,417.84 = 7,985.11/x
  3. Step 3: Cross multiply
    32,945.16x = 49,417.84 × 7,985.11
  4. Step 4: Simplify right side
    32,945.16x = 394,606,888.36
  5. Step 5: Solve for x
    x = 394,606,888.36/32,945.16
  6. Step 6: Final answer
    x = 11,977.69

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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.