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Finding the Fourth Proportional to 32,686.62, 49,029.93 and 9,313.13

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Solution

The fourth proportional to 32,686.62, 49,029.93 and 9,313.13 is: 13,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.62 : 49,029.93 = 9,313.13 : x
  2. Step 2: Convert to fraction form
    32,686.62/49,029.93 = 9,313.13/x
  3. Step 3: Cross multiply
    32,686.62x = 49,029.93 × 9,313.13
  4. Step 4: Simplify right side
    32,686.62x = 456,621,866.83
  5. Step 5: Solve for x
    x = 456,621,866.83/32,686.62
  6. Step 6: Final answer
    x = 13,969.69

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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.